Question

An acute angle θ is in a right triangle with sin θ = 6/7 . What is the value of cot θ?

Answer 1

Do you know the definition of sin?

Answer 2

opp/hyp

Answer 3

Very good. So draw a right triangle. Label one of the acute angles theta. Make the side opposite 6 and the hypotenuse 7.
Use the Pythagorean Theorem to find the missing side.

Answer 4

Then use the definition of cot to find the cot of theta.

Answer 5

wait. so if its sin theta is still the same as sin?

Answer 6

Yes. Theta is only the name of the angle.

Answer 7

If you prefer, you could call it angle x

Answer 8

oh so its √13/6
i think

Answer 9

Very good!!

Answer 10

Thanks!(:

Answer 11

yw