# Trig

posted by .

(csc(B)+cot (B))(csc(B)-cot(B))

• Trig -

You have the pattern of "difference of squares"

(csc(B)+cot (B))(csc(B)-cot(B))
= csc^2 B - cot^2 B

But csc^ B = 1 + cot^2B , one of the identies from
sin^2 B + cos^2 B= 1

so csc^2 B - cot^2 B
= 1 + cot^2 B - cot^2 B = 1

## Similar Questions

1. ### Calculus

Hello, I'm having trouble with this exercise. Can you help me?
2. ### Trigonometry

Hello all, In our math class, we are practicing the trigonometric identities (i.e., sin^2(x)+cos^2(x)=1 or cot(x)=cos(x)/sin(x). Now, we are working on proofs that two sides of an equation are equal (for example, sin(x)*csc(x)=1; sin(x)csc(x)=sin(x)/sin(x)=1; …
3. ### Math - Trig

I'm trying to verify these trigonometric identities. 1. 1 / [sec(x) * tan(x)] = csc(x) - sin(x) 2. csc(x) - sin(x) = cos(x) * cot(x) 3. 1/tan(x) + 1/cot(x) = tan(x) + cot(x) 4. csc(-x)/sec(-x) = -cot(x)
4. ### trig 30

For csc^2 A-1/cot A csc A, what is the simplest equivalent trig expression?
5. ### trig

prove the identity: csc x-1/csc x+1 = cot^x/csc^x+2 csc x+1
6. ### trig

verify : [sec(x) / csc(x) - cot(x)] - [sec(x) / csc(x) + cot(x)] = 2csc(x)
7. ### trigonometry repost

Reduce (csc^2 x - sec^2 X) to an expression containing only tan x. (is this correct?
8. ### pre cal

can someone please show me how to verify this identity?
9. ### Trig verifying identities

I am having trouble with this problem. sec^2(pi/2-x)-1= cot ^2x I got : By cofunction identity sec(90 degrees - x) = csc x secx csc-1 = cot^2x Then split sec x and csc-1 into two fractions and multiplied both numerator and denominators …
10. ### trig

verify (csc^4-1)/cot^2x=2+cot^2x So this is what I have so far on the left side (csc^2x+1)(cscx+1)(cscx-1)/cot^2x =(csc^2x+1)(cot^2x)/cot^2x i think I'm doing something wrong. Please help!

More Similar Questions