Explain the given trigonometric equation by matching correct options — task. Maths CBSE Homework Assignments, Class 10.

Answer variants:

\frac{1 + \frac{\cos^{2} θ}{\sin^{2} θ}}{1 + \frac{\sin^{2} θ}{\cos^{2} θ}}

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

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

\frac{\sin^{2} θ}{\cos^{2} θ}

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

\frac{1 + \frac{\sin^{2} θ}{\cos^{2} θ}}{1 + \frac{\cos^{2} θ}{\sin^{2} θ}}

Prove that

\frac{1 + \tan^{2} θ}{1 + \cot^{2} θ}

\(=\)

\tan^{2} θ

Proof:

LHS \(=\)

\frac{1 + \tan^{2} θ}{1 + \cot^{2} θ}

\(=\)

\tan^{2} θ

\(=\) RHS

Did you find an error?

2. Explain the given trigonometric equation by matching correct options