Question

Express cos30° sin20° as the sum or difference​

Answer 1

SOLUTION

TO EXPRESS

cos30° sin20° as the sum or difference

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

$\sf{2 \cos \alpha \sin \beta = \sin( \alpha + \beta ) - \sin ( \alpha - \beta )}$

EVALUATION

$\displaystyle \sf{ \cos {30}^{ \circ} \sin {20}^{ \circ} }$

$\displaystyle \sf{ = \frac{1}{2} \times 2 \cos {30}^{ \circ} \sin {20}^{ \circ} }$

$\displaystyle \sf{ = \frac{1}{2} \times \bigg[ \: \sin ( {30}^{ \circ} + {20}^{ \circ} ) - \sin ( {30}^{ \circ} - {20}^{ \circ} ) \bigg] }$

$\displaystyle \sf{ = \frac{1}{2} \times \bigg[ \: \sin {50}^{ \circ} - \sin {10}^{ \circ} \bigg] }$

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Answer 2

Answer:

1/2×(sin 50°-sin20°) this a answer of this question