Question

Prove that:

(1+sin 0)^2 + (1+cos0)2^ = 3+2 (sin0 + cos0)

Answer 1

Answer:

(1 + sin² ∅) + (1 + cos² ∅) = 5 ( sin∅ + cos∅ )

2 + sin²∅ + cos²∅ + 2sin∅ + 2cos∅= 5sin∅ + 5cos∅

2 + 1 = 5sin∅ - 2sin∅ + 5cos∅ - 2cos∅

3 = 3 ( sin∅ + cos∅ )

by sqauring on both sides,

9 = 9 ( sin²∅ + cos²∅)

9 = 9 * 1

9 = 9

hence proved.

hope this helps you brother