Class XI Chapter 3 – Trigonometric Functions Maths ______________________________________________________________________________ x x 2 2 Therefore, cos and tan It is given that 2 x cos x 1 2sin 2 2 x 1 cos x sin 2 2 1 cos x 3 . are negative, where sin 2 x as is positive. 1 1 1 1 x 3 3 4 / 3 2 2 sin 2 2 2 2 3 x 2 x sin sin is positive 2 3 2 x 2 3 6 sin 2 3 3 3 Now x 2 2 cos x 2cos 1 1 31 2 1 x 1 cos x 3 3 3 1 2 cos 2 2 2 2 2 3 x 1 x cos cos is negative 2 3 2 x 1 3 3 cos 2 3 3 3 2 x sin x 2 3 tan 2 2 x cos 1 2 3 Thus, the respective values of x x x 6 3 sin ,cos and tan are , ,and 2 . 2 2 2 3 3 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 ______________________________________________________________________________ Question 10: Find x x x 1 sin ,cos and tan for sin x , x 2 2 2 4 Solution 10: Here, x is in quadrant II. i.e., x 2 x 4 2 2 x x x 2 2 2 Therefore, sin , cos , tan It is given that 1 sin x 4 2 are all positive. 2 2 1 1 15 cos x1 sin x1 1 4 16 16 cos x x 15 4 [cos x is negative in quadrant II] 15 1 1cos x 4 4 15 2 sin 2 2 2 8 in quadrant II x 4 15 x sin sin is negative 2 8 2 4 15 2 8 2 8 2 15 16 8 2 15 4 x 15 1 1cos x 4 4 15 2 cos 2 2 2 8 x 4 15 x cos cos is positve 2 8 2 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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