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Evaluate the following: sin 25 ° cos 43 ° sin 47 ° cos 65 ° - Mathematics

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Question

Evaluate the following: `(sin25° cos43°)/(sin47° cos 65°)`

Sum

Solution

`(sin25° cos43°)/(sin47° cos 65°)`

= `(sin(90° - 65°) cos(90° - 47°))/(sin47° cos65°)`

= `(cos65° sin 47°)/(sin47° cos65°)`
= 1.

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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 1.4
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