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Evaluate the following: sin 10° – cos 80° - Mathematics

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Question

Evaluate the following:

sin 10° – cos 80°

Evaluate
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Solution

Given: sin 10° – cos 80°

Step-wise calculation:

1. Use the co-function identity cos θ = sin (90° – θ). 

So, cos 80° = sin (90° – 80°) 

= sin 10°

2. Substitute:

sin 10° – cos 80°

= sin 10° – sin 10°

= 0

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Chapter 18: Trigonometric Ratios of Some Standard Angles and Complementary Angles - Exercise 18C [Page 380]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 18 Trigonometric Ratios of Some Standard Angles and Complementary Angles
Exercise 18C | Q 2. (i) | Page 380
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