Question

if sec^2 theta- tan^2theta= 1 then tan^2 theta equal to?​

Answer 1

Answer:

tan^2 theta = sec^2 theta - 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given : sec

2

θ+tan

2

θ+1=2

⟹

cos

2

θ

1

+

cos

2

θ

sin

2

θ

+1=2

⟹ 1+sin

2

θ+cos

2

θ=2cos

2

θ

⟹ 1+1=2cos

2

θ

⟹ cos

2

θ=1

⟹ cosθ=±1

∵ cos(−θ)=cosθ

∴ sec(−θ)=sec(θ)=

cosθ

1

=±1