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Evaluate: cos55°sin35°+cot35°tan55°

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Question

Evaluate: `(cos55°)/(sin 35°) + (cot 35°)/(tan 55°)`

Sum
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Solution

`(cos55°)/(sin 35°) + (cot 35°)/(tan 55°)`

= `cos(90° -  35°)/(sin 35°) + cot(90° -  55°)/(tan 55°)`

= `(sin 35°)/(sin 35°) + (tan 55°)/(tan 55°)`

= 1 + 1

= 2

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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. (iv) | Page 334
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