# trig

posted by .

I have to factor the expression and use fundamental identities:

sins^2xcscx^2-sin^2x

sec^4x-tan^4x

• trig -

sins^2xcscx^2-sin^2x
= sin^2x(csc^2x - 1)
= sin^2x(cot^2x)
= sin^2x(cos^2x/sin^2x)
= cos^2x

sec^4x - tan^4x
= (sec^2x - tan^2x)(sec^2x + tan^2x)
= (tan^2x + 1 - tan^2x)(tan^2x + 1 + tan^2x)
= 1(2tan^2x +1)
= 2tan^2x + 1

• trig -

OHHH okay, THANKS!

## Similar Questions

1. ### trig

how do you start this equation i've been tryng it for 20min. sec^6x(secxtanx)-sec^4x(secxtanx)=sec^5xtan^3x ec^6x(secxtanx)-sec^4x(secxtanx)=sec^5xtan^3x Factor out a sec^5 tan and divide thru. Left is sec^2 x = Tan^2 x Then this should …
2. ### Trig

Are any of these three problems identities?
3. ### Trig

Are any of these three problems identities?
4. ### Trig

Use the fundamental identities to simplify the expression: cot beta sec beta I used 1+tan^2u=secu since cot is the inverse of tan. I flipped the tangent, then so it was 1+ (1/tan). But the book's answer is the cosecant of beta. Where …

Use the fundamental identities to simplify the expression. tan^2 Q / sec^2 Q sin^2/cos^2 / 1/cos^2 = sin^2 / cos^2 times cos^2 / 1 = The cos^2 cancels out so sin^2 is left. Is this correct?
6. ### trig 26

simplify to a constant or trig func. 1. sec ²u-tan ²u/cos ²v+sin ²v change expression to only sines and cosines. then to a basic trig function. 2. sin(theta) - tan(theta)*cos(theta)+ cos(pi/2 - theta) 3. (sec y - tan y)(sec y + …
7. ### trig

Use the fundamental identities to simplify the expression. cos^2θ/sin^2θ+cscθsinθ I got tan^2theta
8. ### Trigonometry

Simplify each expression using the fundamental identities. 1. Sec x csc x / sec^2x+csc^2x 2. Sec x + tan x / sec x + tan x - cos x
9. ### Pre Calculus

Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. (sin x + cos x) ^2 a. 1+2sinxcosx b. sec^2x−tan^2x+2cosxsinx c.sec x + 2 sin x/sec x d. sin^2x+cos^2x …
10. ### Studying for math test

Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. (sin x + cos x) ^2 a. 1+2sinxcosx b. sec^2x−tan^2x+2cosxsinx c. sec x + 2 sin x/sec x d. sin^2x+cos^2x …

More Similar Questions