# Algebra II Part 2

posted by .

Verify the identity cot{0-pi/2=-tan 0

• Algebra II Part 2 -

use the identities:
tan(x)=sin(x)/cos(x)
cot(x)=cos(x)/sin(x)
and
sin(π/2)=1, cos(π/2)=0
sin(0)=0, cos(0)=1

• Algebra II Part 2 -

I think she means θ when using 0
I'll use x to avoid copy/paste of special characters.

one way:
recall the definition of co-functions: function of complementary angle. So,

cos(x) = sin(pi/2 - x)
cot(x) = tan(pi/2 -x)

so, cot(x-pi/2) = -cot(pi/2 - x) = -tan(x)

cot(x-pi/2) = (1+cotx cot pi/2)/(cot pi/2 - cot x) = (1+0)/(0-cotx) = 1/-cotx = -tanx

• Algebra II Part 2 -

Thanks Steve, good thought!

## Similar Questions

1. ### Pre Cal

could someone please tell me what the other angle identity of tan is?
2. ### Algebra2 Verify Identity

Verify the Identity: csc(x)+sec(x)/sin(x)+cos(x)=cot(x)+tan(x) the left side of the equation is all one term.
3. ### Algebra 2 Honors

sin 2x(cot x + tan x) = 2 (verify the identity)
4. ### Pre Calc

Verify the following identity: sin(x)*cos(x)*(cot(x)+tan(x))=1 show work
5. ### Trigonometry need help!!!

need help don't understand how to do this.... 1.Verify the identity cot(θ-( π/2)= -tan θ 2. Verify the identity tan θ + cot θ =1/sin θ cosθ
6. ### Trigonometry

Verify the identity algebraically. TAN X + COT Y/TAN X COT Y= TAN Y + COT X
7. ### ALGEBRA

PLEASE VERIFY THE IDENTITY cot(theta-pi/2) = -tan theta
8. ### Algebra 2

Verify the identity . cot (treta-pi/2) = -tan treta
9. ### Algebra 2

Verify the identity . cot ( theta - pi / 2 )= - tan theta
10. ### Pre-Calculus

A.Verify the identity. B.Determine if the identity is true for the given value of x. Explain. [cot(x) – 1] / [cot(x) + 1] = [1 – tan(x)] / [1 + tan(x)], x = π/4 I solved A and I believe it's true; however, I need help with …

More Similar Questions