Question

If 0 is an acute angle and sin 0 = cos e, find the value of 0 and hence, find the value of
2 tan2 0 + sin2 0 - 1.​

Answer 1

Answer:

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