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Evaluate the following: sin28° sec62° + tan49° tan41° - Mathematics

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Question

Evaluate the following: sin28° sec62° + tan49° tan41°

Sum

Solution

sin28° sec62° + tan49° tan41°
= sin28° sec(90° - 28°) + tan49° tan(90° - 49°)
= sin28° cosec28° + tan49° cot49°

= `sin28° xx (1)/(sin28°) + tan49° xx (1)/(tan49°)`

= 1 + 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 2.4
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