**Evaluating Trig Functions with Trig Ratios Worksheet :**

Here we are going to see some practice problems on evaluating trig functions with trig ratios.

(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 + x^{2}), then find the values of sin A and tan A in terms of x. Solution

(6) If sin θ = a/√a^{2} + b^{2}, 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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