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CLASS_11_MATHS_SOLUTIONS_NCERT

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Class XI Chapter 3 – Trigonometric Functions Maths<br />

______________________________________________________________________________<br />

2sin 4x cos 4x2sin 2x cos 2x<br />

sin8xsin 4xR.H.S<br />

Question 14:<br />

2<br />

Prove that sin 2x 2sin 4x sin 6x 4cos xsin 4x<br />

Solution 14:<br />

L.H.S.<br />

<br />

sin 2x 2sin 4x sin6x<br />

sin 2x sin 6x 2sin 4x<br />

<br />

2x 6x 2x 6x<br />

<br />

2sin cos 2sin 4x<br />

2 2<br />

<br />

<br />

A B A B<br />

sin A sin B 2sin <br />

cos<br />

<br />

<br />

<br />

2 2<br />

<br />

<br />

<br />

<br />

2sin 4x cos 2x 2sin 4x<br />

2sin 4xcos2x 2sin 4x<br />

<br />

2sin 4x<br />

cos 2x1<br />

<br />

<br />

2<br />

2sin 4x<br />

2cos x<strong>11</strong><br />

<br />

2sin 4x<br />

2cos<br />

<br />

2<br />

4cos<br />

R.H.S.<br />

xsin<br />

2<br />

4x<br />

x<br />

<br />

<br />

<br />

<br />

Question 15:<br />

Prove that cot 4x sin 5x sin 3x cot x sin 5x sin 3x<br />

Solution 15:<br />

L.H.S<br />

<br />

cot 4x sin 5x sin 3x<br />

cot 4 x 5 3 5 3<br />

2sin<br />

x x <br />

cos<br />

x x <br />

<br />

sin 4x<br />

<br />

2 2<br />

<br />

<br />

A B A B<br />

sin A sin B 2sin <br />

cos<br />

<br />

<br />

<br />

2 2<br />

<br />

<br />

<br />

cos 4x<br />

<br />

2sin 4xcos<br />

x<br />

sin 4x<br />

<br />

<br />

<br />

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