(1) From the given figure, find all the trigonometric ratios of angle B.
(2) From the given figure, find the values of
(i) sin B (ii) sec B (iii) cot B
(iv) cos C (v) tan C (vi) cosec C Solution
(3) If 2 cos θ = √3, then find all the trigonometric ratios of angle θ. Solution
(4) If cos A = 3/5, then find the value of (sin A - cos A)/2 tan A Solution
(5) If cos A = 2x/(1 + x2), then find the values of sin A and tan A in terms of x. Solution
(6) If sin θ = a/√a2 + b2, then show that b sin θ = a cos θ Solution
(7) If 3cot A = 2 , then find the value of (4 sin A - 3 cos A)/(2 sin A + 3 cos A) Solution
(8) If cos θ : sin θ = 1 : 2, then find the value of (8 cos θ - 2 sin θ)/(4 cos θ + 2 sin θ) Solution
(9) From the given figure, prove that θ + Φ = 90°.Also prove that there are two other right angled triangles. Find sin a, cos β and tan Φ.
(10) A boy standing at a point O finds his kite flying at a point P with distance OP = 25 m. It is at a height of 5 m from the ground. When the thread is extended by 10 m from P, it reaches a point Q. What will be the height QN of the kite from the ground? (use trigonometric ratios)
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