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Degger [83]
3 years ago
6

How to find Sin67/2 and 97/2 without using the calculator? I need a step by step explanation plz...​

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0
10 for for for for for f
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Can someone help.
r-ruslan [8.4K]

Answer:

m∠C = 38°  (nearest whole number).

Step-by-step explanation:

To find the missing angle, use the Sine Rule.

<u>Sine Rule</u> (for angles)

\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}

where:

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  • a, b and c are the sides opposite the angles

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To find m∠C, substitute the given values into the formula and solve for C:

\implies \sf \dfrac{\sin 53^{\circ}}{18}=\dfrac{\sin C}{14}

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\implies \sf C= \sin^{-1} \left( \dfrac{14 \sin 53^{\circ}}{18}\right)

\implies \sf C= 38.40096301...^{\circ}

Therefore, m∠C = 38°  (nearest whole number).

Learn more about the sine rule here:

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