Question

If cotθ = 2, then the value of the expression cot2 θ+ cosec2θ is

Answer 1

Answer:2

Step-by-step explanation: cot2θ+cosec2θ

=$\frac{cot^{2}\theta }{2cot\theta} +\frac{1}{sin^{2}\theta }$

=$\frac{2^{2}-1 }{2*2}$$\frac{1}{2cot\theta}$/1+cot²θ

=$\frac{4-1}{4} +\frac{1+2^{2} }{2*2}$

=$\frac{3}{4} +\frac{5}{4}$

=$\frac{8}{4}$

=$2$