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Find the angle θ in the following, if 0° < θ < 90°. cos θ = sin 48° - Mathematics

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Question

Find the angle θ in the following, if 0° < θ < 90°.

cos θ = sin 48°

Sum
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Solution

cos θ = sin (90° − θ)

cos θ = sin 48°

sin (90° − θ) = sin 48°

Since 0° < θ < 90° we have:

90° − θ = 48°

θ = 42°

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Chapter 19: Trigonometry - EXERCISE 19B [Page 233]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 19 Trigonometry
EXERCISE 19B | Q I. 2. | Page 233
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