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If sec A = cosec A and 0° ∠A ∠90°, state the value of A - Mathematics

Sum

If sec A = cosec A and 0° ∠A ∠90°, state the value of A

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Solution

sec A = cosec A
cos A = sin A
cos2A = sin2A
cos2 A = 1 – cos2A
2cos2A = 1

cos A = `(1)/(sqrt2)`
A = 45°

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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (A) | Q 7.2 | Page 291
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