Two mark example problems II — task. Mathematics State Board, Class 9.

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1. Evaluate:

(i) \(\frac{tan \ 45^{\circ}}{tan \ 30^{\circ} + tan \ 60^{\circ}} =\)

\frac{\sqrt{i}}{i}

(ii) \(sin^2 \ 45^{\circ} + cos^2 \ 45^{\circ} =\)

2. Find the values of the following:

(i) \((cos \ 0^{\circ} + sin \ 45^{\circ} + sin \ 30^{\circ})(sin \ 90^{\circ} - cos \ 45^{\circ} + cos \ 60^{\circ}) =\)

\frac{i}{i}

(ii) \(tan^2 \ 60^{\circ} - 2 \ tan^2 \ 45^{\circ} - cot^2 \ 30^{\circ} + 2 \ sin^2 \ 30^{\circ} + \frac{3}{4} \ cosec^2 \ 45^{\circ} =\)

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5. Two mark example problems II