Question

If sin(theta) =4/5 and is in quadrant 2, the value of cot(theta

Answer 1

-3/4

Step-by-step explanation: A P E X

Answer 2

`\sin\theta= (4)/(5) \\ \\\sin^2\theta+\cos^2\theta=1 \\ \cos\theta=\pm √(1-\sin^2\theta) =\pm \sqrt{1-( (4)/(5))^2 } =\pm \sqrt{1- (16)/(25) } =\pm \sqrt{(9)/(25) }=\pm (3)/(5)}`


`\theta \in II \Rightarrow \cos\theta\ \textless \ 0 \Rightarrow \cos\theta=-(3)/(5)`


`\cot\theta= (\cos\theta)/(\sin\theta)= (-(3)/(5))/((4)/(5)) =- (3)/(4)`