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Evaluate: Cosec(65° + A) - Sec(25° - A)

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Question

Evaluate: cosec (65° + A) - sec (25° - A)

Sum
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Solution

cosec (65° + A) - sec (25° - A)

= cosec [90° - (25° - A)] - sec (25° - A)

= sec (25° - A) - sec (25° - A)

= 0.

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Complimentary Angles for Secant ( Sec ) and Cosecant ( Cosec )
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Chapter 21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - EXERCISE 21 (F) [Page 334]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 21 Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
EXERCISE 21 (F) | Q 7. (v) | Page 334
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