Class XI Chapter 3 – Trigonometric Functions Maths ______________________________________________________________________________ 3x x 2cos .2sin x cos 2 2 x 3x 4sin x cos cos R.H.S. 2 2 A B A B sin A sin B 2sin cos 2 2 Question 8: x x 2 2 Find sin ,cos Solution 8: and Here, x is in quadrant II. i.e., x 2 x 4 2 2 tan 2 x x x x 2 2 2 There, sin ,cos and tan are lies in first quadrant. It is given that 4 tan x 3 , if 2 4 tan x , x 3 2 2 4 6 25 sec x1 tan x1 1 3 9 9 cos x 25 2 9 3 cos x 5 As x is in quadrant II, cos x is negative. 3 cos x 5 2 x Now, cos x 2cos 1 2 3 2 x 2cos 1 5 2 in quadrant II Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 3 – Trigonometric Functions Maths ______________________________________________________________________________ 2 x 3 2cos 1 2 5 2 x 2 2cos 2 5 2 x 1 cos 2 5 x 1 x cos cos is positive 2 5 2 x 5 cos 2 5 x x 2 2 2 2 sin cos 1 2 x 1 sin 1 2 5 2 x 1 4 sin 1 2 5 5 2 2 x 2 x sin sin is positive 2 5 2 x 2 sin x 2 5 tan 2 2 x cos 1 2 5 Thus, the respective values of x x x 2 5 5 sin ,cos and tan are , , and 2. 2 2 2 5 5 Question 9: x x x 1 Find, sin ,cos and tan for cos x , x in quadrant III 2 2 2 3 Solution 9: Here, x is in quadrant III. 3 i.e., x 2 x 3 2 2 4 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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