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Question
The value of sin 23° cos 67° + cos 23° sin 67° is ______.
Fill in the Blanks
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Solution
The value of sin 23° cos 67° + cos 23° sin 67° is 1.
Explanation:
sin 23° cos 67° + cos 23° sin 67°
= sin 23° cos (90° – 23°) + cos 23° sin (90° – 23°)
= sin 23° sin 23° + cos 23° cos 23°
= sin2 23° + cos2 23°
= 1 ...[sin2A + cos2A = 1]
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