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Question
The value of sin 163° cos 347° + sin 167° sin 73° is ______
Options
`1/2`
1
`1/sqrt2`
`sqrt3/2`
MCQ
Fill in the Blanks
Solution
The value of sin 163° cos 347° + sin 167° sin 73° is `underline(1/2)`.
Explanation:
sin 163° cos 347° + sin 167° sin 73°
= sin(180° - 17°) cos(360° - 13°) + sin(180° - 13°) sin(90° - 17°)
= sin 17° cos 13° + sin 13° cos 17°
= sin(17° + 13°)
= sin 30°
= `1/2`
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Trigonometric Functions of Sum and Difference of Angles
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