Register
How do I simplify the following expression by writing it as a term with only one trigonometric function? (4-2sec^2(x))/(sec^2(x))
222k views
14 votes
How do I simplify the following expression by writing it as a term with only one trigonometric function?

(4-2sec^2(x))/(sec^2(x))

User Vijay Hulmani
by
4.8k points

1 Answer

8 votes

Answer:

2 cos (2x)

Explanation:


(4 -2 sec^2x)/(sec^2x) \\=(4-(2)/(cos^2x) )/((1)/(cos^2 x) ) \\=((4 cos^2x-2)/(cos^2 x) )/((1)/(cos^2x) ) \\=(2(2 cos^2x-1))/(cos^2x) * (cos^2x)/(1) \\=2(2cos^2x-1)\\=2cos(2x)

User JasonY
by
5.5k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

5.9m questions

7.7m answers

Other Questions

Solve for y in terms of x. 2/3y - 4 = x y = x + 6 y = -x + 4 y = -x + 6 y = x + 4
Aliyah has $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
Use the normal model ​n(11371137​,9696​) for the weights of steers. ​a) what weight represents the 3737thth ​percentile? ​b) what weight represents the 9999thth ​percentile? ​c) what's the iqr of the weights
Evaluate a + b when a = –16.2 and b = –11.4 A. –27.6 B. –4.8 C. 4.8 D. 27.6
What is the value of x? (-4) - x = 5
Link Copied!