Question

please solve this question​

Answer 1

Solution

Given :-

• sin²θ/(tan² θ - sin² θ) = 3

Find :-

• Value of theta (θ)

Explanation

Given that,

==> sin²θ/(tan² θ - sin² θ) = 3

==> sin² θ = 3 × ( tan² θ - sin² θ)

==>sin² θ = -3sin² θ + 3 tan² θ

==> sin² θ + 3 sin² θ = 3 tan² θ

==> 4sin² θ = 3 tan² θ

Using Formula

★ tan θ = sin θ/cos θ

==> 4 sin² θ = 3 sin² θ/cos² θ

==> cos² θ = 3/4

==> cos θ = √(3/4)

==> cos θ = √3/2

Wr Know,

★ cos 30° = √3/2

so,

==> cos θ = cos 30°

==> θ = 30°

Hence

• Value of θ will be = 30°

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