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

Answer variants:

\frac{5 (\frac{\cos x}{\sin x}) - \cos x}{5 (\frac{\cos x}{\sin x}) + \cos x}

\frac{(\frac{5}{\sin x} - 1)}{(\frac{5}{\sin x} + 1)}

\frac{\cos x (\frac{5}{\sin x} - 1)}{\cos x (\frac{5}{\sin x} + 1)}

\frac{(5 \times \frac{1}{\cos x} - 1)}{(5 \times \frac{1}{\cos x} + 1)}

\frac{(5 \times \frac{1}{\sin x} - 1)}{(5 \times \frac{1}{\sin x} + 1)}

\frac{5 (\frac{\sin x}{\cos x}) - \cos x}{5 (\frac{\sin x}{\cos x}) + \cos x}

Prove that

\frac{5 \cot x - \cos x}{5 \cot x + \cos x}

\(=\)

\frac{5 cosec x - 1}{5 cosec x + 1}

Proof:

LHS \(=\)

\frac{5 \cot x - \cos x}{5 \cot x + \cos x}

\(=\)

\frac{5 cosec x - 1}{5 cosec x + 1}

\(=\) RHS

Did you find an error?

2. Explain the given trigonometric equation by matching correct options