Verify the given trigonometric equation — task. Maths TNSB Mentoring, Class 10.

Answer variants:

\sqrt{\frac{{(1 + \cos θ)}^{2}}{\sin^{2} θ}}

\frac{1}{\sin θ} + \frac{\cos θ}{\sin θ}

\sqrt{\frac{1 + \cos θ}{1 - \cos θ} \times \frac{1 + \cos θ}{1 + \cos θ}}

\sqrt{\frac{{(1 + \cos θ)}^{2}}{1 - \cos^{2} θ}}

\frac{1 + \cos θ}{\sin θ}

\sqrt{\frac{1 + \cos θ}{1 - \cos θ} \times \frac{1 - \cos θ}{1 - \cos θ}}

\sqrt{\frac{{(1 + \cos θ)}^{2}}{1 + \cos^{2} θ}}

Verify that

\sqrt{\frac{1 + \cos θ}{1 - \cos θ}}

\(=\)

cosec θ + \cot θ

Proof:

LHS \(=\)

\sqrt{\frac{1 + \cos θ}{1 - \cos θ}}

\(=\)

cosec θ + \cot θ

\(=\) RHS

Did you find an error?

6. Verify the given trigonometric equation