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Without using trigonometric tables, evaluate: (cosec 42^circ)/sec 48^circ

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Question

Without using trigonometric tables, evaluate:

`("cosec"  42^circ)/sec 48^circ`

Evaluate
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Solution

`("cosec"  42^circ)/sec 48^circ`

= `("cosec" (90^circ - 48^circ))/sec 48^circ`

= `sec 48^circ/sec 48^circ`  [`because` sec (90-θ) = cosec θ]

= 1

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Chapter 12: Trigonometric Ratios of Some Complemantary Angles - EXERCISE 12 [Page 590]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 12 Trigonometric Ratios of Some Complemantary Angles
EXERCISE 12 | Q 1. (v) | Page 590
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