Question

If theta is an accute angel then prove that sin^2 theeta+ cos^2 theeta=1, hence prove 1+tan^2theeta=sec^2 theeta,if theeta is not equal to(4π/5)radian​

Answer 1

Step-by-step explanation:

Given that sinθ=cosθ

⟹

cosθ

sinθ

=1

⟹tanθ=1

⟹θ=45

0

Therefore, 2tan

2

θ+sin

2

θ−1=2tan

2

45+sin

2

45−1

=2(1)

2

+(

2

1

)

2

−1

=2+

2

1

−1=

2

1

+1=

2

3