# Trig

posted by .

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 did this come from??

• Trig -

Fundamental identities include:
cot(β)=cos(β)/sin(β)
sec(β)=1/cos(β), and
csc(β)=1/sin(β)

I will let you take it from here.

• Trig -

• Trig -

That's correct, although 1/sin(β) is generally written as csc(β), as your answer indicates.

## Similar Questions

1. ### Pre Cal

could someone please tell me what the other angle identity of tan is?
2. ### I dont think drawing a picture will help me drwls

Which expression is equivalent to tan theta-sec theta/sin theta?
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. ### Math

Prove Trig. Identities 1. sec è (sec è - cos è)= tan^2 è 2. tan^2 è (1 + cot^2 è) = sec^2 è
5. ### Trigonometry

Find the exact value of tan(a-b) sin a = 4/5, -3pi/2<a<-pi; tan b = -sqrt2, pi/2<b<pi identity used is: tan(a-b)=(tan a-tan b)/1+tan a tan b simplify answer using radicals. (a is alpha, b is beta)
6. ### trigonometry repost

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

Q.1 Prove the following identities:- (i) tan^3x/1+tan^2x + cot^3x/1+cot^2 = 1-2sin^x cos^x/sinx cosx (ii) (1+cotx+tanx)(sinx-cosx)/sec^3x-cosec^3x = sin^2xcos^2x.
8. ### math

This is the problem given: The side of a hill faces due south and is inclined to the horizontal at an angle alpha. A straight railway upon it is inclined at an angle beta to the horizontal. If the bearing of the railway is gamma east …
9. ### math

use the quotient and reciprocal identities to simplify the given expression cot t sin t csc t sin t tan t cot t cot t sec t
10. ### physics

Two radar stations A and B, are separated by horizontal distance of (a=500 metres), they both track the position of a plane C by recording angles (alpha), and (beta) at 1 second intervals. time (sec) 9 10 11 the angle A(alpha) 54.80 …

More Similar Questions