If 2sinA = 1, with A being an angle in quadrant 1, what is the value of cotA?

2 Answers
Sep 8, 2017

The value of cotA is sqrt(3).

Explanation:

We know that sinA = 1/2, and that cotA = cosA/sinA. Also, cos^2x+ sin^2x = 1. Accordingly:

(1/2)^2 + cos^2A = 1

cosA = 3/4

cosA = sqrt(3)/2

Accordingly,

cotA = (sqrt(3)/2)/(1/2) = sqrt(3)

Hopefully this helps!

Sep 8, 2017

sqrt 3

Explanation:

2 sin A = 1, then sin A = 1/2

it means, opposite side = 1 and hypotenuse = 2, therefore based on Pythagoras theorem, it adjacent = sqrt (2^2 - 1^2) = sqrt(3)

therefore

cot A = adjacent/opposite = sqrt 3 /1 = sqrt 3