English

The value of (cos^2 23° – sin^2 67°) is ______.

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Question

The value of (cos2 23° – sin2 67°) is ______.

Fill in the Blanks
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Solution

The value of (cos2 23° – sin2 67°) is 0.

Explanation:

sin 67° = sin (90° – 23°)

= cos 23°

So cos2 23° – sin2 67° = cos2 23° – cos2 23°

= 0

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Chapter 10: Trigonometric Ratios - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 10.39]

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R.D. Sharma Mathematics [English] Class 10
Chapter 10 Trigonometric Ratios
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 5. | Page 10.39
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