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CLASS_11_MATHS_SOLUTIONS_NCERT

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

______________________________________________________________________________<br />

Question 3:<br />

Find the values of other five trigonometric functions if<br />

Solution 3:<br />

3<br />

cot x <br />

4<br />

1 1 4<br />

tan x <br />

cot x 3<br />

3<br />

<br />

4<br />

<br />

1tan xsec<br />

2 2<br />

2<br />

x<br />

4<br />

<br />

1<br />

sec<br />

3<br />

<br />

16<br />

1<br />

sec<br />

9<br />

25<br />

sec<br />

9<br />

2<br />

5<br />

sec x <br />

3<br />

Since x<br />

5<br />

sec x <br />

3<br />

x<br />

2<br />

x<br />

2<br />

x<br />

lies in the 3 rd quadrant, the value of sec x<br />

1 1 3<br />

cos x <br />

sec x 5 5<br />

<br />

<br />

3 <br />

sin x<br />

tan x <br />

cos x<br />

4 sin x<br />

<br />

3 <br />

3 <br />

<br />

5 <br />

4 3 4<br />

sin x <br />

3 5 5<br />

1 5<br />

cosec x <br />

sin x 4<br />

3<br />

cot x<br />

, x<br />

4<br />

will be negative.<br />

lies in third quadrant.<br />

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