PYQ - Prove the following II — task. Maths TNSB Mentoring, Class 10 Crash course.

Show that \(cot^2 \ C - cos^2 \ C = cot^2 \ C \ cos^2 \ C\)

Proof:

Answer variants:

\(cot^{2} \ C\)

\(cos^{2} \ C\)

\(tan^{2} \ C\)

\(sin^{2} \ C\)

\begin{array}{l} LHS = \cot^{2} C - \cos^{2} C \\ = \cot^{2} C - \frac{\cos^{2} C}{i} \times i \\ = \cot^{2} C - i \times \sin^{2} C \\ = \cot^{2} C (1 - \sin^{2} C) \\ = \cot^{2} C i \end{array}

Did you find an error?

6. PYQ - Prove the following II