Question

if sec2 theta(1+sin theta)(1-sin theta)=k then find the value of k​

Answer 1

Step-by-step explanation:

Given that:-

Sec² Ѳ (1-SinѲ)(1+SinѲ)=k

We know that (a+b)(a-b)=a²-b²

Here,a=1 ; b=SinѲ

=>Sec²Ѳ(1²-Sin²Ѳ)=k

(Sin²Ѳ+Cos²Ѳ=1)

=>Sec²Ѳ(Cos²Ѳ)=k

=> 1/Cos²Ѳ×Cos²Ѳ=k

=>Cos²Ѳ/Cos²Ѳ=k

=>1=k

K=1

Sec² Ѳ (1-SinѲ)(1+SinѲ)=1=k

The value of k=1