Question

If cos2θ= sin4θ,find the value of θ

Answer 1

Answer:

Iam considerind theta=A

as theta is not available

cos2A=cos(90degrees-4A)

2A=90degrees-4A

6A=90degrees

A=15degrees

Answer 2

Step-by-step explanation:

cos2 theta = sin 4 thita

we know sin theta = cos ( π/2 - theta)

cos 2theta = cos (π/2 - 4thita)

2theta = ( π /2 - 4theta)

2 theta + 4 theta = π/2

6 theta = π/2

theta =( π / 2) / 6

= 90 degree / 6

= 15 degree

$\boxed{\textbf{\large{theta=15degree}}}$