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Without Using Trigonometric Tables, Evaluate : Sin 16 ∘ Cos 74 ∘ - Mathematics

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Question

Without using trigonometric tables, evaluate :
`sin 16^circ/cos 74^circ`

Sum
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Solution

`sin 16^circ/cos 74^circ`

= `sin (90^circ - 74^circ)/cos 74^circ`

= `cos 74^circ/cos 74^circ` [∵ sin (90-θ) = cos θ ]

= 1

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Chapter 7: Trigonometric Ratios of Complementary Angles - Exercises [Page 312]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 7 Trigonometric Ratios of Complementary Angles
Exercises | Q 1.1 | Page 312
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