Pre-Calc/Trig Unit 2: Circular Functions/4.3 Graphs of Tan//Cot
The function graphed is of the form y = a tan bx or y = a cot bx, where b > 0. Determine the equation of the graph.
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AzYaYyakkrTzpJHMSQIvKe38oOubm47X/hcni7/ohPxA/wDA7w9/8taAPVa8q8Of8nT/ABD/AOxM8Nf+l2u0f8Lk8Xf9EJ+IH/gd4e/+WteaaB8WPFCftJeOrtfgx44kuJfCXh6J7FbzQvOhVbzWisjE6mEKuXYKFctmJ9yqChcA+oK8q8Ef8Wf8VWHw7m+fw3qn2278MXh+RbTa/myaQwOEHlpI7WqRY/0W2lQxqLMyzH/C5PF3/RCfiB/4HeHv/lrWT4p8d61400K60fWPgB8QLuwuNpZV1LQInR0YPHLHImrh4pUdUdJEKujorKysoIAPa6K+Svgx+0x48Hjf4geBfEvgLxx4t8Q6NqaNYjyvD9jMmn/YLFtkhGopFPOrziSZoCyqbyElYBLHAnsH/C5PF3/RCfiB/wCB3h7/AOWtAHqtFeVf8Lk8Xf8ARCfiB/4HeHv/AJa1xXwh/aB8eeIfCl/dah8IfHGu3EfiDXLRbq2uPD8SpFBqt1DFAQ2pRktDHGkLNtIZomYNICHYA9q8f+CrH4i+DdW8OahLcWtvfwmNbyyZUubOUENFc27srCOeGRUljkwSkkaMOVFZXw58a32vXOueHvEEVvbeLPDs0cF99lVo4L2KSMPBfW8bsXWCUb0wxYJNBcwiSXyTI3P/APC5PF3/AEQn4gf+B3h7/wCWtcp468VeLvFX2HUtN+C/xA0PxXpW9tL1lbnw9L5O/b5kE0f9rr51tLsQSQll3bEdGjlihljAPoCivl/9nH9qnxR8T/gv4S1dvhX448UauNMtItW1K3l0K1E179mieSTyJdQieNZQ6zRhok3RTROq7HUn0v8A4XJ4u/6IT8QP/A7w9/8ALWgD1WivnX43/tA+PPDHwX8fazpnwh8ceHdS07w/qF3a6xd3Hh+aGxljtpHSd0XUpC6owDFRG5IUgK3Q9r/wuTxd/wBEJ+IH/gd4e/8AlrQB0HxG8FX2vXOh+IfD8tvbeLPDs0k9j9qZo4L2KSMpPY3EiKXWCUbHyoYJNBbTGOXyRG2r4A8a2PxF8G6T4j0+K4tbe/hEjWd6qpc2coJWW2uEVmEc8MivFJHklJI3U8qa4r/hcni7/ohPxA/8DvD3/wAta8U+Onxa8bfDSJfH/h74WfEDwn9o1rRofEdssOiaimsQNfWsBWO3h1GSQXzxEWySxoxdHWNx+7t5bYA+wKK8f0n49eINf0qy1PTPgt441HTb2FLm1vLTU/DksM8TqGSRHXViGVlIIYEgggirf/C5PF3/AEQn4gf+B3h7/wCWtAHqtFfOvj/9oHx5pPiv4a2tp8IfHGmW+qeIJrS8tZrjw+7ajENK1CYQRkakwRhJDHNuLRjbA67iWCP2v/C5PF3/AEQn4gf+B3h7/wCWtAB43/4s/wCKr/4iQ/P4b1T7FaeJ7MfItptfyo9XUjCDy0kRbp5cf6LbROJFFmIpvVa8q/4XJ4u/6IT8QP8AwO8Pf/LWvCovjh4o+B/xo8I+Fh8OPHGmfD7W9M1BNK8KXA0JjZ3oubCOJYrtdSKQ2imYxRQSvHtlvI4YvMVoIbcA+yqK8q/4XJ4u/wCiE/ED/wADvD3/AMtaP+FyeLv+iE/ED/wO8Pf/AC1oA9Vor510n9oHx5cfGjxVo0nwh8cT6baeH9Iu4NHW48Pia1lmudSSSdn/ALSAZZVgiVVEjFTbuSqbgZD4vftA+PPCng2TX9P+EPjjS7jS5o5xbXlx4fkg1QsfKWxYR6lJMGmeRUjMCtL5xhxHON0EoB9FUV5V/wALk8Xf9EJ+IH/gd4e/+WtFAHpUek2MOq3Gpx2VumpXMMVtPeLEomlijaRo42fGWVGmlKqTgGRyMbjnKvfGtjpnjKw8OX0VxZXGpQmTTryZVFteyqHaW2jcMSJ0jTzfLYKXj3tH5ghn8roK4r4veCr7xt4NkTQ5be08WaXNHqugXl0zJFDqEJ3RLI6KXWCUboJxHhnt550BG80AdrXlXhz/AJOn+If/AGJnhr/0u12u18AeNbH4i+DdJ8R6fFcWtvfwiRrO9VUubOUErLbXCKzCOeGRXikjySkkbqeVNeFeCviX4jvv2p/F3nfCfxhp/wBs8M+G7Wf7Td6MfsMYvtZxczeXqDZiPmPgReZJ+5kygym8A+laKKKAOU8U/DPQ/E9ndKIP7H1OW9XVIta0tEhvbe/SEQJdpIVIaUQqsR8wOrxZhkV4maNqvwv8a33iTSjpPiWK30/x7pEMEevadbKyQiVlIFzbbmJe0mZJGhkyThXjfbNFNHH2teVfFn/i33irQPibD+6sLPGjeJ9vCtpUzjy7uTGAfsdwUlMkrbILWbUmALOKAO88ZeJR4O8LanrZ0681ZbGBpzZaf5fnygdQpldEHrl3UAAkkVw37PfxW0j4t+ErrVfD/gzVPB2j/apJUXUUsYxdTTM080ira3EvzM8hdy+0s0hPJLGt740XWl2nwp8UtrmkXWvaHJYyQahp9lfQWMkts42Tfv557eONQjMzM0qYVTgk4B8+/Zru/DF9JqereDfhnrHhXRdejW9bXptX0y/sLxoiIkihNpqNztAy5ARVjyJCSGb5iO8r7WXyev59PRhLaPLvd39Lf5nutFFFAHmnjLwBN4YttK8QfDzSbey1vQ4bWwGkWIjt4NS0iKQb7DyyVj3RxNM1qWaMRTEDzEhluFk7Xwt4p0vxpoVrrGj3X2uwuNwVmjaJ0dGKSRSRuA8UqOro8bhXR0ZWVWUga1eVaB/xbL4y6l4fb9z4b8aeZrOk5+WK21VAPt9ov3UTz02XkcaBnkkXVZnOAKAPStW0mx1/Sr3TNTsrfUdNvYXtrqzu4llhnidSrxujAhlZSQVIIIJBq3Xn3x3+Jl/8H/hlqnizT9Hs9clsDHutL7UWsY2DMEAEiwyncWZVVQhyzAZA5B8Dfibe/FrwJHr+oWGk6XdtO8L2Wkas2orDtxgSSNBCUkIIbYU4DKcndwLXT+un+aB6W/r+tj0Gqmp6TY61bJb6hZW9/bpNDcrFcxLIqyxSLLFIAwIDJIiOrdVZVIwQDVuigDyrW/8AiyniqTX4v9E+G2p/aLjX4x80Wj37ujrqCrx5NtLmc3TDcqyGK4KRq17Oe88ZT6ta+FdVm0OW1g1aO3d7aW9tJbqJGAzloYSskuBk7EIZjgAjOavatpNjr+lXumanZW+o6bewvbXVndxLLDPE6lXjdGBDKykgqQQQSDXlnw1tJNe8H678MPFWpatPq/heVNNl1CLVbm01DUNPOHsL/wC1RSJOzyQqI5p12K91b3qLlUNJq6aRUbXVzy/T/wBrq1g8CeB9e8XeB73xfrN1qeoQ2V54d0+3tEtbqCW5tc+RqN1FNazmHzFZMuUEjKXw4DfU1hcyXljbXE1rNYyyxq72twUMkLEAlGKMylh0O1mGRwSOa+RNem+H+p6tpHgLVvgZ4vl1+OwvPsWj3Hi/RBqkkNw6yXNwB/bnnySO0IZrkkyZVjv5bP0b8L9dvNQ0o6ZL8Pde8AWGlwwW1nBrU+nyLLGFKhYvsl3cYCBFB37fvLjd82KvfX+t3fbTt03uumufb+u1v6/O+nbVk634T0PxL5n9r6Np+q+ZZXGmv9ttUm3Ws+zz7c7gcxSeXHvT7rbFyDtFa1FIo808FatfeA/E0vgfxHe3FxZ3MxPhLVb6Vp5L21WBXeynuGOZLuFlnYb/AJ5bZY5N88kV26el1xXxe8FX3jbwbImhy29p4s0uaPVdAvLpmSKHUITuiWR0UusEo3QTiPDPbzzoCN5q74P8Yw/Ev4fWWv6G0umPqVoWjh1GFTPp9xyrwXMSv8s0MoaOWLdlXjdCQQaTdlca1Zux6TYw6rcanHZW6alcwxW094sSiaWKNpGjjZ8ZZUaaUqpOAZHIxuOfHP2o/jBP8E9F8M+IY/B+ieLFj1GRY21XWV0+bT5jbSgXEO6CUlREZ1ldMNHE0jEMnmFfMrn9pDxf8KPC+v6h/aGl/FnTF8Rx6bpWoarqkGl3UsLQgO22ztJEdBcRXiofLUlLeUlmwpb3Xw7pfhz46+BfD/iDxb4V8LazdTWs6rCDHrFvbLMDFPDHPJChO5RskGxckMpBApayi5Q6W/JO33b22JfutRlo2nb5O1/k+4v/AAnvif8A6B/gv/wrJf8A5Boqj/wyn8E/+iPeAf8AwmLL/wCNUV6ntML/ACfn/wDJHH7Gt/z9f3L/ACPU6KKy/E3iK08J6HdatfRX89rbAF49M0+4v7g5YKNkFujyvyR91TgZJ4BNebsdu5598Nf+KZ+MvxR8JRfNYS/2d4utlT5IrT7eJ7ea3SMcDdcaZPds4xvkv5CV3BnkPDn/ACdP8Q/+xM8Nf+l2u15r4c8STRftl6feWnjCe+s/FvhaWPUdH1XTRYfYvs8on0q1jR41nS6MdzqkrRTNvaNJX2KsahLXgr4l+I779qfxd53wn8Yaf9s8M+G7Wf7Td6MfsMYvtZxczeXqDZiPmPgReZJ+5kygym+Yu67B1sfStFFFUAVU1bSbHX9KvdM1Oyt9R029he2urO7iWWGeJ1KvG6MCGVlJBUgggkGrdFAHinwy17VZ/wBm6BbjQ7z4ka94ce78PNbTXMJuNcutLvpbD7W8ly6ojTSWn2g73YoWIDSMoLaf7M+hazoPw5nTxD4UufCGs3mqXepXlldXdtcNJNcSedK6/Z3eNI/MkdEUMTsjUthmIp/wX/4kni/4seFh/otpp/iY6lpthJw62t/aW93NcLn5nil1CTVMOSV3pLGpAh2J6rSSSbflb0/4cHqkuzv+n+e3cKKKKYBXlX7Tv/Eq+DWteLYvlv8AwTs8XWzJ8sr/AGA/aJrdJBzF9pt0ntGcZxHdSAq6lkb1WsnxZ4W0vxz4V1nw3rdr9t0XWLKbT7628xo/OglQxyJuQhlyrEZUgjPBBoAsazoWm+IrRbTVtOtNTtVmjuFgvIFmQSxuHjcKwI3K6qynqCARyKi8P+GNG8JWL2Wh6TY6NZvNJcNb6fbJBG0sjFpJCqAAszEknqSSTXJfs/eKdU8afA7wHrGvXX2vxJcaLajWmaNYnTUkjVLyKSNQBFKlwsqPHhdjoylVKkD0CgAooooAK8q8d/8AFK/Hb4Z69b/8zH9u8I3tvH+787/RZdStriVh/rPI/s+7iRGHy/2jMysvzLJ6rXlX7Rv/ABKvCHh/xTF+5u/DHibSdSF+33LG1e7S01G4kz8oiXT7q/3u42xoWkypjDqAc38R9K8Q698dvBsVr8LL288NaTqMerXHiqG/06COa7MJt1Z0M32ho4YZZDxHud0jXGwFj7zRRSSSVvO/9en/AA4PWXN5Jfd/V/ysFFFFMAryHwNp1pY/FT4teA7q1hv9Cv4rHxOtnLGPssUeopcWtzaCA5Uq8+m3F07cCR7+Xcu4M8nr1eVa1/xTv7TXhe7j/wBDtPE/hm/029nk+5d3VlcW8+n26s3AlWG61mQImGdBKzBhACgNO2qNzQfgT8NfCtuINF+HnhXR4BN9p8qw0S2gXzfLeLzMIgG7y5JE3ddrsOhIrqtC0HTPC+j2mk6Np1ppGlWcYhtrGxgWGCBB0VEUBVA9AMVfooJsFFFFAwooooA8C+Lnwr8F+BfHvw++J+m+ENB0zV7Pxlbrq+q6dpkEOo3o1KG40tAZVUNIPtWo2skm9vuRuw3Mqq3UeHP+Tp/iH/2Jnhr/ANLtdo/aZ/dfC63u3+S00/xN4b1K8nbhLa1t9bsZ7i4kbokUUMckjucKiIzMQATXn/gr4l+I779qfxd53wn8Yaf9s8M+G7Wf7Td6MfsMYvtZxczeXqDZiPmPgReZJ+5kygym8G3fVn0rRRRQIKKKKAPKrb/iRftT6j9o+f8A4SrwZbfYvL58v+yr6f7T5ucY3f23abNu7Plzbtu1d/qteVeK/wDRP2mvhtdz/ubSfwz4i02KeT5UkunuNInS3VjwZWhtbqQIPmKW8rAYjYj1WgAooooAKKKKAPKv2fP+JVp3jvwxL81/oPjPWPtMicxP9vuDq8Ownk7bfU4EbIGJEkA3KFdvVa8q+Ef+ifFH44Wk/wC5u5/E1nqUUEnyvJavommwJcKp5MTTWt1GHHyl7eVQcxsB6rQAUUUUAFcV8b/BV98Svgv4+8IaZLbwalr/AIf1DSrWW7ZlhSWe2kiRnKqxChnBJAJxnAPSu1ooA5/4e+NbH4leAPDXi/TIriDTdf0y21W1iu1VZkiniWVFcKzAMFcAgEjOcE9a6CvKv2Uf3X7MvwqtH+S70/wzp+m3kDcPbXVvbpBcW8i9UlimjkjdDhkdGVgCCK9VoAKKKKACvKvjv/xKtR+FvieX5rDQfGdp9pjTmV/t9vc6RDsB4O241OB2yRiNJCNzBUb1WvKv2mf3Xwut7t/ktNP8TeG9SvJ24S2tbfW7Ge4uJG6JFFDHJI7nCoiMzEAE0Aeq0UUUAFFFFABRRWX4m8RWnhPQ7rVr6K/ntbYAvHpmn3F/cHLBRsgt0eV+SPuqcDJPAJo2Dc8+/ax/5NY+Mn/Ymaz/AOkM1Hhz/k6f4h/9iZ4a/wDS7Xa+d/jD8d/E/wAWdZ+K3w/0vQfE1toWofDPxGukaRd+EdQtrvUrxYIBHOGlgVsN500SRjHzBQ2XljRe9+Gnxh1Xxb+0l4h1Oy+Gfig6brPhLwwEvF1DRJoYLVrzWGjvWeLUXEkDrKxXyTI5ETnZzHvFdxU+9/wbX6B1ce3/AA59QUUUUAFFFFAHlXxk/wCSi/An/sc7n/1HtZr1WvKvjV/o3jT4K6hL+6sLPxm32m6fiKDztG1S1h3seF8y4uIIVyfmkmjQZZ1B9VoAKKKKACiiigDyrw5/ydP8Q/8AsTPDX/pdrteq15Vov+h/tT+MvtH7j+0fBmh/YvM+X7V9mvtW+0+Vn7/lfa7Tftzs+0w7seYufVaACiiigAooooA8q/Zp/wCSdav/ANjn4s/9SHUa9Vryr9m//RvBfiPT5f3V/Z+M/E32m1fiWDztZu7qHep5XzLe4gmXI+aOaNxlXUn1WgAooooAK8q/ax/5NY+Mn/Ymaz/6QzV6rXmn7Tek32v/ALNvxX0zTLK41HUr3wlq1ta2dpE0s08r2cqpGiKCWZmIAUAkkgCgD0uiqmk6tY6/pVlqemXtvqOm3sKXNreWkqywzxOoZJEdSQyspBDAkEEEVboAKKKKACiiigCm+jafJrEWrNY2zarFA9rHfGFTOkLsrPGHxuCMyISucEopPQV8w/sV/wDMvf8AZGfAH/uYr6qr4g/Yv8f66mq+FbRfhr4okt5fhZ4FsHvludK8mGFW1QLesDehzA4diqqhmxE+6JSUDnkB9v0UUUAFFFFAHlX7S3/JOtI/7HPwn/6kOnV6rXlX7S3/ACTrSP8Asc/Cf/qQ6dXqtABRRRQAUUUUAeVeI/8Ak6f4ef8AYmeJf/S7Qq9VryrxH/ydP8PP+xM8S/8ApdoVeq0AFFFFABRRRQB5V8G/+Si/Hb/sc7b/ANR7Rq9Vryr4N/8AJRfjt/2Odt/6j2jV6rQAUUUUAFFFFAHlX7J3/JrHwb/7EzRv/SGGvVa8q/ZO/wCTWPg3/wBiZo3/AKQw16rQAUUUUAFFFZfibxFaeE9DutWvor+e1tgC8emafcX9wcsFGyC3R5X5I+6pwMk8AmjYNzUr5V/Yu/dXmm2j/Jd6f8JvBOm3kDcPbXVvNrUFxbyL1SWKaOSN0OGR0ZWAIIp/gH9orxL8Qv2lo9OxNYeApLm80fT7CJo4bs3VvaR3MkmpWlxai4hDrMPLCSxldgEkZ3jHD/sj+P8AXR8aviHF/wAK18UFL6Z4riYXOlbdPVvFfih2km/03LKjTSRkRCRt1tKVVlMTSu3uxl3V/k9vvWodWuzt/n/kfb9FFFIAooooA8q/aZ/dfC63u3+S00/xN4b1K8nbhLa1t9bsZ7i4kbokUUMckjucKiIzMQATXqteVftY/wDJrHxk/wCxM1n/ANIZq9VoAKKKKACiiigDyrxX/on7TXw2u5/3NpP4Z8RabFPJ8qSXT3GkTpbqx4MrQ2t1IEHzFLeVgMRsR6rXlXxk/wCSi/An/sc7n/1HtZr1WgAooooAKKKKAPKvhH/onxR+OFpP+5u5/E1nqUUEnyvJavommwJcKp5MTTWt1GHHyl7eVQcxsB6rXlXhz/k6f4h/9iZ4a/8AS7Xa9VoAKKKKACiiigDyr9lH91+zL8KrR/ku9P8ADOn6beQNw9tdW9ukFxbyL1SWKaOSN0OGR0ZWAIIr1WvKv2af+Sdav/2Ofiz/ANSHUa9VoAKKKKACiiigDDtfAnhqx8XXviq28PaVb+KL2AWt1rcVlEt7PCNuI3nC72UbEwpJHyr6CvnH9kb/AJLF8Wv+2/8A6l/i6vqqvmrwV8a9D1X9qfxdZ29rqDeJL3wz4bsJvDJjT+0dPkjvtZNy1ym/ZHFAk0UjTbzG6zQGFpjc2wmAPpWiiigAooooA8q/ax/5NY+Mn/Ymaz/6QzV6rRRQAUUUUAFFFFAHlXxk/wCSi/An/sc7n/1HtZr1WiigAooooAKKKKAPKvDn/J0/xD/7Ezw1/wCl2u16rRRQAUUUUAFFFFAHlX7NP/JOtX/7HPxZ/wCpDqNeq0UUAFFFFABRRRQAV5V4c/5On+If/YmeGv8A0u12iigD1WiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigD/2Q==
1.0000000
0.3333333
0
true
true
abc
y = cot 2x
Correct
y = tan 2x
Incorrect
y = 2 cot x
Incorrect
y = 2 tan x
Incorrect