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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

Verify the following equalities: sin2 60° + cos2 60° = 1 - Mathematics

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Question

Verify the following equalities:

sin2 60° + cos2 60° = 1

Sum
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Solution

sin 60° = `sqrt(3)/2`, cos 60° = `1/2`

L.H.S = sin2 60° + cos2 60°

= `(sqrt(3)/2)^2 + (1/2)^2`

= `3/4 + 1/4`

= `4/4`

= 1

L.H.S = R.H.S

Hence it is proved.

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Chapter 6: Trigonometry - Exercise 6.2 [Page 232]

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Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 6 Trigonometry
Exercise 6.2 | Q 1. (i) | Page 232
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