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Question
The value of sin 32° cos 58° + cos 32° sin 58° is ______.
Fill in the Blanks
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Solution
The value of sin 32° cos 58° + cos 32° sin 58° is 1.
Explanation:
sin 32° cos 58° + cos 32° sin 58°
= sin 32° cos (90° – 32°) + cos 32° sin (90° – 32°)
= sin 32° sin 32° + cos 32° cos 32°
= sin2 32° + cos2 32°
= 1 ...[sin2 θ + cos2 θ = 1]
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