Which expression is equivalent to 1/tanθ?

Question

1) What is the Pythagorean Identity?

a) sen²θ + cos²θ = 1

b) 1 + cos²θ = sin2θ

c) 1 + sinθ = cosθ

d) senθ + cosθ = 1

2) Which expression is equivalent to 1/tanθ?

a) 1 / cosθ

b) cos θ

c) sen θ

d) 1 / cotθ

e) cotθ

f) 1 / senθ

Answer 1

Hi Raquel R.,

These are all Fundamental Identities.

1) The Pythagorean Identities are:

sin² t + cos² t = 1

1 + tan² t = sec² t

1 + cot² t = csc² t

2) cot t = 1/tan t, is the identity you need.

I hope this helps, Joe.