Question

If sinθ + sin²θ = 1,
prove that cos²θ+ cos⁴θ = 1.​

Answer 1

Answer:

hope ith helps....✌

Answer 2

$\huge\bf\purple{\mathfrak{Given:-}}$

→ sinθ + sin²θ = 1

To prove :-

→ cos²θ +cos⁴θ = 1

Proof:-

→ sinθ + sin²θ = 1

→ sinθ = 1 - sin²θ

→ sinθ = cos²θ [ 1- sin²θ= cos²θ]

Squaring on both side

→ sin²θ = cos⁴θ

→ 1 - cos²θ = cos⁴θ [ sin²θ= 1- cos²θ]

→ 1 = cos⁴θ + cos²θ

→ cos⁴θ + cos²θ = 1

$\therefore \: \boxed{ \tt{proved!}}$