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Description Trig identities 7.1 Assignment Submission For this assignment, you s

ID: 3427956 • Letter: D

Question

Description

Trig identities 7.1

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

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1.0/1 points |  Previous AnswersSPreCalc6 7.1.003.

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My Notes

Write the trigonometric expression in terms of sine and cosine, and then simplify.

4 cos t tan t

  

2.0/1 points |  Previous AnswersSPreCalc6 7.1.004.

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My Notes

Write the trigonometric expression in terms of sine and cosine, and then simplify.

cos t csc t

3.–/1 pointsSPreCalc6 7.1.005.

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My Notes

Write the trigonometric expression in terms of sine and cosine, and then simplify.

sin sec

4.–/1 pointsSPreCalc6 7.1.006.

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My Notes

Write the trigonometric expression in terms of sine and cosine, and then simplify.

cot sec

5.–/1 pointsSPreCalc6 7.1.007.

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My NotesWrite the trigonometric expression in terms of sine and cosine, and then simplify.

sec2x tan2x

6.–/1 pointsSPreCalc6 7.1.008.MI.

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My NotesWrite the trigonometric expression in terms of sine and cosine, and then simplify.

7.–/1 pointsSPreCalc6 7.1.009.

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My NotesWrite the trigonometric expression in terms of sine and cosine, and then simplify.

cos u + tan u sin u

8.–/1 pointsSPreCalc6 7.1.011.

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My NotesWrite the trigonometric expression in terms of sine and cosine, and then simplify.

9.–/1 pointsSPreCalc6 7.1.012.

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My NotesWrite the trigonometric expression in terms of sine and cosine, and then simplify.

10.–/1 pointsSPreCalc6 7.1.010.

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My NotesWrite the trigonometric expression in terms of sine and cosine, and then simplify.

sin2 (1 + cot2)

Total 0/10 (0.0%) k -XX"x-)x-* )#7 *

Explanation / Answer

1.    4cos t tan t

    tan t= sint/cos t

Therefore

      4 cos t * sint/cos t =   4sin t

2. cos t csc t

   csc t=1/sin t

Therefore

cos t csc t= cos t *1/sin t=cos t /sin t = cot t

3.   sin t sec t

    sec t=1/cos t

Therefore

    sin t sec t= sin t * 1/cos t= sin t/cos t = tan t

4. cot t sec t

    cot t= cos t/sin t   and sec t =1/cos t

Therefore

cot t sec t= (cos t/sint)(1/cos t) = 1/sint =csc t