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Evaluate: Sin 80 ° Cos 10 ° + Sin 59° Sec 31° - Mathematics

Sum

Evaluate: `(sin 80°)/(cos 10°)`+ sin 59° sec 31°

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Solution

`(sin 80°)/(cos 10°)`+ sin 59° sec 31°

= `sin(90° - 10°)/(cos 10°)` + sin (90° - 31°)sec 31°

= `(cos 10°)/(cos 10°) + (cos 31°)/(cos 31°)`
= 1 + 1
= 2

Concept: Trigonometric Ratios of Complementary Angles
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 25 Complementary Angles
Exercise 25 | Q 6.3 | Page 310
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