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Without Using Trigonometric Tables, Evaluate : Cot 38 ∘ Tan 52 ∘ - Mathematics

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Question

Without using trigonometric tables, evaluate :

`cot 38^circ/tan 52^circ`

Sum
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Solution

`cot 38^circ/tan 52^circ`

= `cot (90^circ - 52^circ)/tan 52^circ`

= `tan 52^circ/tan 52^circ`  [`because` tan (90-θ) = cot 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 1.6 | Page 312
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