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Evaluate the following: cos39° cos48° cos60° cosec42° cosec51° - Mathematics

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Question

Evaluate the following: cos39° cos48° cos60° cosec42° cosec51°

Sum

Solution

cos39° cos48° cos60° cosec42° cosec51°

= `cos(90° - 51°) xx cos(90° - 42°) xx (1)/(2) xx (1)/(sin42°) xx (1)/(sin51°)`

= `sin51° xx sin42° xx (1)/(2) xx (1)/(sin42°) xx (1)/(sin51°)`

= `(1)/(2)`.

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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 5.03
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