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Find the value of {75^}

Question

Find the value of $sin 7 5^{\circ}$

\frac{3 + 1}{2 2}

\frac{3 - 1}{2 2}

\frac{1 - 3}{2 2}

\frac{3 + 1}{2 + 2}

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Elijah Discussed

Find the value of

sin 7 5^{\circ}

14 mins ago

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Text solutionVerified

To solve this lets divide

7 5^{\circ}

into

(30 + 45)^{\circ}

Then,

sin 7 5^{\circ} = sin (30 + 45)^{\circ} = sin 3 0^{\circ} cos 4 5^{\circ} + cos 3 0^{\circ} sin 4 5^{\circ}

∵ sin (A + B) = sin A cos B + cos A sin B

∴ sin (30 + 45)^{\circ} = \frac{1}{2} \times \frac{1}{2} + \frac{3}{2} \times \frac{1}{2} = \frac{1 + 3}{2 2}

Hence option

A

is correct.

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