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Verify the following: 2 sin 45° cos 45° = sin 90°

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Question

Verify the following:

2 sin 45° cos 45° = sin 90°

Sum
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Solution

`2  sin 45^0 cos 45^0` 

=`2xx1/sqrt(2) xx1/sqrt(2) =1`

Also, sin `90^0 =1`

∴ `2  sin 45^0  cos 45^0 = sin 90^0` 

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Chapter 11: T-Ratios of Some Particular Angles - EXERCISE 11 [Page 572]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 11 T-Ratios of Some Particular Angles
EXERCISE 11 | Q 11. (iv) | Page 572
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