If cot 𝜃 =−20/21 and sin𝜃 <0, what Quadrant is 𝜃 in? If cot 𝜃 =−20/21 and sin𝜃 <0, use a Pythagorean identity and your answer to the previous question to determine sec𝜃.

Question

Its 2 different questions.. help please

Answer 1

Quadrant IV is the only quadrant where both cotangents and sines are always negative

cotT=-20/21, sinT<0

c^2 = a^2 + b^2

hypotenuse squared = (-20)^2 + 21^2

hypotenuse = sqr(20^2+21^2) = sqr(400+441)= sqr(841)

sqr841 = 29

secT = hypotenuse over adjacent side

= 29/20