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Find θ if 0° < θ ≤ 90°. cos θ = 2 cos2 30° − 1 - Mathematics

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Question

Find θ if 0° < θ ≤ 90°.

cos θ = 2 cos2 30° − 1

Sum
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Solution

Given:

0° < θ ≤ 90°

cos θ = 2 cos2 30° − 1

= cos(2 × 30°)

= cos 60°

= `1/2`   ...[Since 0° < θ ≤ 90°, cos θ = `1/2` gives]

= θ = 60°

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Chapter 19: Trigonometry - EXERCISE 19C [Page 237]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 19 Trigonometry
EXERCISE 19C | Q II. 8 | Page 237
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