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Evaluate: Sec 75 ° Cosec 15 °

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Question

Evaluate: `(sec 75°)/("cosec" 15°)`

Sum
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Solution

`(sec 75°)/("cosec" 15°)`

= `sec(90° - 15°)/("cosec" 15°)`

= `("cosec" 15°)/("cosec"15°)`

= 1

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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 2. (iii) | Page 334
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