If sec A = cosec A and 0° &ang;A &ang;90°, state the value of A

sec A = cosec Acos A = sin Acos2A = sin2Acos2 A = 1 – cos2A2cos2A = 1 cos A = `(1)/(sqrt2)`A = 45°

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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°

Concept: Trigonometric Ratios of Some Special Angles

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Chapter 23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] - Exercise 23 (A) [Page 291]

Q 7.2 Q 7.1 Q 7.3

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

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