Description Trig identities 71 Assignment Submission For thi

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.

Assignment Scoring

Your last submission is used for your score.

1.0/1 points |  Previous AnswersSPreCalc6 7.1.003.

Ask Your Teacher

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.

Ask Your Teacher

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.

Ask Your Teacher

My Notes

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

sin sec

4.–/1 pointsSPreCalc6 7.1.006.

Ask Your Teacher

My Notes

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

cot sec

5.–/1 pointsSPreCalc6 7.1.007.

Ask Your Teacher

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

sec²x tan²x

6.–/1 pointsSPreCalc6 7.1.008.MI.

Ask Your Teacher

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

7.–/1 pointsSPreCalc6 7.1.009.

Ask Your Teacher

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.

Ask Your Teacher

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

9.–/1 pointsSPreCalc6 7.1.012.

Ask Your Teacher

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

10.–/1 pointsSPreCalc6 7.1.010.

Ask Your Teacher

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 *

Solution

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