Evaluate the following: \frac{3\sin 30° - 4\sin^3 30°}{2\sin^2 50° + 2\cos^2 50°}... | VSA 2m | Maths | SuperPadhai

Introduction To Trigonometry > Question

VSA2 marksYear: 2025MediumCBSE Class 10

trigonometrystandard-angle-values

Question

Evaluate the following:

\frac{3 sin 30° - 4 sin ^{3} 30°}{2 sin ^{2} 50° + 2 cos ^{2} 50°}

Solution

1

= \frac{3 \times \frac{1}{2} - 4 \times \frac{1}{8}}{2 ( s i n ^{2} 50° + c o s ^{2} 50° )} = \frac{\frac{3}{2} - \frac{1}{2}}{2 \times 1}

+1 mark

2

= \frac{1}{2}

+1 mark

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