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Evaluate the following: tan 42 ° cot 48 ° + cos 33 ° sin 57 ° - Mathematics

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Question

Evaluate the following: `(tan42°)/(cot48°) + (cos33°)/(sin57°)`

Sum

Solution

`(tan42°)/(cot48°) + (cos33°)/(sin57°)`

= `(tan(90° - 48°))/(cot48°) - (cos(90° - 57°))/(sin57°)`

= `(cot48°)/(cot48°) - (sin57°)/(sin57°)`

= 1 - 1
= 0.

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Trigonometric Equation Problem and Solution
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Chapter 27: Trigonometrical Ratios of Standard Angles - Exercise 27.3

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Frank Mathematics [English] Class 9 ICSE
Chapter 27 Trigonometrical Ratios of Standard Angles
Exercise 27.3 | Q 3.2
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