Pre-Calc/Trig Unit 3: Analytic Trig and Applications/5.3 and 5.4 Sum//Difference Identities
Find the exact value by using a sum or difference identity.sin 15°
Find the exact value by using a sum or difference identity.
sin 15°]]>
1.0000000
0.3333333
0
true
true
abc
]]>
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Correct]]>
]]>
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Incorrect. Think of 15 as 45 - 30.]]>
]]>
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Incorrect. Think of 15 as 45 - 30.]]>
]]>
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Incorrect. Think of 15 as 45 - 30.]]>
Find the exact value by using a sum or difference identity.tan 75°
Find the exact value by using a sum or difference identity.
tan 75°]]>
1.0000000
0.3333333
0
true
true
abc
- 2]]>
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Incorrect
+ 2]]>
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Correct
- 2]]>
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Incorrect
+ 2]]>
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Incorrect
Solve the problem.When a person bends at the waist with a straight back, the ...
Solve the problem.
When a person bends at the waist with a straight back, the force, F, exerted by the person's lower back muscles can be estimated with the formula where w is the person's weight, and θ is the angle made by the person's torso relative to the horizontal. Suppose that a person bends at an angle of 30°. Determine the force exerted by the person's back muscles, and estimate the angle that requires the back muscles to exert a force of 346 pounds.]]>
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XEBWK1lkjlRo/OkBO5cI+4VZ+HfwF8WeENUsZNV8a6Pq2nWvhKHwoLa08Oy2kpWLOyfzGvZBn5vmXbzgYK1xmj/sj+OvD/wzu/A+nfFbTrbSb2Gza5kHhVjKbi2jhiUoTe/LDJHawCSM7mJ8wpJGHCrvKzcktle3nrK1+2nK3o9bq1npleVlputfWyv+Lkvle/f6loqK1WdLWFbmSOW5CASyRRmNGbHJVSWKgnoCTj1PWigtEtFFFAwooooAKKKKACiiigAooooA/9k=
1.0000000
0.3333333
0
true
true
abc
289 pounds; 47.3°
Incorrect
501 pounds; 53.2°
Correct
26 pounds; 53.2°
Incorrect
501 pounds; 30°
Incorrect
Use a sum or difference identity to find the exact value.tan
Use a sum or difference identity to find the exact value.
tan ]]>
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1.0000000
0.3333333
0
true
true
abc
]]>
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Incorrect
]]>
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
Incorrect
]]>
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Correct
]]>
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
Incorrect
Use Identities to find the exact value.cos -75°
Use Identities to find the exact value.
cos -75°]]>
1.0000000
0.3333333
0
true
true
abc
- ]]>
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Incorrect
]]>
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Incorrect
]]>
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
Correct
- ]]>
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
Incorrect
Use Identities to find the exact value.cos 165°
Use Identities to find the exact value.
cos 165°]]>
1.0000000
0.3333333
0
true
true
abc
]]>
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Incorrect
]]>
/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAoADcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U68G+J0Wl+MvjJf2PiXxDrXhvwp4K8KRatef2T4ivtJS8l1C6mSOSV7SaFv9HXSpgqsXD/bjgIY/n67xr4b8a2niaLxfoutXGrJpswC+D7fZbQ3unmBlnh3yMUa7aYxzRzSFFAtorcG3Wa5nk8MOmv8AtL/DT4g+OvBUt14i0TxB4t0rUdDurWcWV3qekabHYiW0ha4CtAFvYdTMaS+WoleSQFRL5hTvol5f8P8ALcaPfvgxY22neHLuOx0XxhpFjJdGaBvGmrz6jdXKMiYlQ3F1PNDGQB+5l8plbdmNWLZ9Aryf4D+GPEGg2HiRtRg8R6Lo99dpLpOj+Ktb/tjUrFRCiSl7gzXHyvIpdY/PlCg5yu4xpR+EfwS8T/D34l+O/EWrfEPWPEen65exXEFldxWCiULZwQ+ZP5NlEyyKYmVRG4QoFLAuSa1sndbWS7avTz+f6Loltdns1fM/jC2fx38UviBqFzp3xC8QQeHrqw8L2XhzwT4outJXzFs01Ce/dlvrODLrqcEO2Ri3+hqVLbyqdx4xl8RfCXVdR+JOr+JLjWvCdtDdtr+lRxiGHTtORle3u7aIlizWsaTmcA+ZcC5ldSfs9paDivBfiXxfY/BeHX/B/hPVfFd9431/VNbGs6bLYC4XS7i9mfT7tlvbmDzHOn/Yo4o3JMSJGjqBEIjky4q7sev/AAX1PQtZ+GGg33hqXWJNGnid4h4gvLm7v4nMjeZFPLcySSl0k3oQztt27QdoFFXPhfCLXwNpVqvhrUvCSW0ZhXS9YltpbpApI3yPbzTRsz8uW8wkliW5Joq5bszWxyn/AApvxd/0Xb4gf+APh7/5VVU0z4C+INFtnt9P+NPjiwt3mmuWittM8ORq0ssjSyyELpIBZ5Hd2bqzMxOSSa9goqRnlX/Cm/F3/RdviB/4A+Hv/lVWDZeFtQ1HxpqnhK1/aI8dz+ItMtIL69sY7Dw+Wt4ZmcRFm/snaC3ludud2MEjDAn2+4MqwSGBEkmCkxpIxVWbHAJAJAz3wfoa+UvgZq3jeH9qbxFbeJvBS6Ws/h23tLvW7FNUms7m7iurqZylzNpdvC5P2gcB9oUIEaQ7lS4KMm1J2sr+v9f1uN2UHJ+X4tfp/Wh65/wpvxd/0Xb4gf8AgD4e/wDlVVTSfgL4g0DSrLTNM+NPjjTtNsoUtrWztNM8ORQwRIoVI0RdJAVVUABQAAAAK9goqBHKeBfBur+Evt39q+O/EHjX7Rs8v+3YNOi+zbd2fL+x2lvnduGd+77i42/Nkrq6KACiiigAooooAKKKKACiiigD/9k=
Incorrect
]]>
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
Incorrect
]]>
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
Correct
Use Identities to find the exact value.cos 36° cos 24° - sin 36° sin 24°
Use Identities to find the exact value.
cos 36° cos 24° - sin 36° sin 24°]]>
1.0000000
0.3333333
0
true
true
abc
]]>
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
Correct]]>
1]]>
Incorrect. 36+24=60. Evaluate Cos 60]]>
]]>
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
Incorrect. 36+24=60. Evaluate Cos 60]]>
]]>
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Incorrect. 36+24=60. Evaluate Cos 60]]>
Use identities to write each expression as a function of θ.cos (θ + 90°)
Use identities to write each expression as a function of θ.
cos (θ + 90°)]]>
1.0000000
0.3333333
0
true
true
abc
-cos θ
Incorrect
cos θ
Incorrect
sin θ
Incorrect
-sin θ
Correct
Use the cofunction identities to find an angle θ that makes the statement ...
Use the cofunction identities to find an angle θ that makes the statement true.
sec (6θ + 17°) = csc (2θ - 7°)]]>
1.0000000
0.3333333
0
true
true
abc
θ = 10°]]>
Correct]]>
θ = 40°]]>
Incorrect. These are cofunctions. The angles add up to 90.]]>
θ = ]]>
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
Incorrect. These are cofunctions. The angles add up to 90.]]>
θ = ]]>
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
Incorrect. These are cofunctions. The angles add up to 90.]]>
Use trigonometric identities to find the exact value.sin 20° cos 100° + cos ...
Use trigonometric identities to find the exact value.
sin 20° cos 100° + cos 20° sin 100°]]>
1.0000000
0.3333333
0
true
true
abc
]]>
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
Incorrect
]]>
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Incorrect
]]>
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Incorrect
]]>
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Correct
Write in terms of the cofunction of a complementary angle.sec 68° 28'
Write in terms of the cofunction of a complementary angle.
sec 68° 28']]>
1.0000000
0.3333333
0
true
true
abc
csc 22° 28'
Incorrect
csc 21° 32'
Correct
cos 21° 32'
Incorrect
cos 111° 32'
Incorrect