Question

If x = 60°, find the value of the expression
(1 + sin x)(1 - sin x) ÷
(1 + cos x)(1 - cos x)​

Answer 1

Answer:

1/3

Step-by-step explanation:

(1 + sin x)(1 - sin x) ÷(1 + cos x)(1 - cos x)

(1- sin^2 x)÷(1-cos^2 x)

cos^2 x ÷ sin^2 x

cot^2 x

cot^2 60°

(1/√3)^2

1/3