Math, asked by gpvdk73631, 2 months ago

sin 90° = 2 tan theta / 1 + tan ^2 theta = tan 2 theta find theta

aur haa theta ki value 22 1/2 °

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Answers

Answered by Salmonpanna2022
3

Step-by-step explanation:

Given that,

Sin 90° = 2 Tan θ / (1 + Tan^2 θ) = Tan 2θ

We know that

Sin 90 = 1

=> 1 = 2 Tan θ / (1 + Tan^2 θ) = Tan 2θ

=> Tan 2θ = 1

We know that

Tan 45° = 1

=> Tan 2 θ = Tan 45°

=> 2 θ = 45°

=> θ = 45°/2

=> θ = 22 1/2°

Answer:-

The value of the θ for the given problem is 22 1/2°

Used Formulae :-

  • Sin 90° = 1

  • Tan 45° = 1

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