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Evaluate the following: sin35° sin45° sec55° sec45° - Mathematics

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Question

Evaluate the following: sin35° sin45° sec55° sec45°

Sum

Solution

sin35° sin45° sec55° sec45°

= `sin(90° - 55°) xx (1)/sqrt(2) xx (1)/(cos55°) xx sqrt(2)`

= `cos55° xx (1)/(cos55°) xx (1)/sqrt(2) xx sqrt(2)`
= 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 5.01
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