Question

the value of 5sin^2A-cos^2A = 2 is​

Answer 1

5sin

2

θ+cos

2

θ=2⇒5sin

2

θ+(1−sin

2

θ)=2[∵sin

2

θ+cos

2

θ=1]

⇒5sin

2

θ+1−sin

2

θ=2⇒4sin

2

θ=2−1⇒4sin

2

θ=1⇒sin

2

θ=

4

1

⇒sinθ=±

2

1