Question

cot theta=sin2theta find the value of theta​

Answer 1

Step-by-step explanation:

ANSWER

cotθ=sin2θ

⇒

sinθ

cosθ

=2sinθcosθ

⇒cosθ=2sin

2

θcosθ

⇒cosθ−2sin

2

θcosθ=0

⇒cosθ(1−2sin

2

θ)=0

⇒cosθ(cos2θ)=0

⇒cosθ=0 or cos2θ=0

⇒θ=

2

π

or 2θ=

2

π

⇒θ=

4

π

∴θ can be 45

o

or 90

o

.

solution