Q.1. In triangle ABC, right-angled at B, AB=24cm, BC=7cm. Determine: (i) SinA, CosA, (ii) SinC, CosC; Q.2. In the figure, find tanP – cotR.; Q.3. If sin A=3/4, calculate cos A and tan A.; Q.4. Given 15cot A = 8, find sin A and sec A.; Q.5. Given sec θ=13/12, calculate all other trigonometric ratios.; Q.6. If angle A and angle B are acute angles such that cos A = cos B, then show that angle A = angle B.; Q.7. If cot θ=7/8, evaluate: (i) {(1+sinθ)(1- sinθ)}/{(1+cosθ)(1-cosθ)}, (ii) (cot θ)^2; Q.8. If 3cot A = 4, check whether {1–(tanA)^2}/{1+ (tanA)^2} = (cosA)^2–(sinA)^2 or not; Q.9. In a triangle ABC, right angled at B, if tan A= 1/√3, find the value of (i) sin A cos C + cos A sin C, (ii) cos A cos C – sin A sin C; Q.10. In triangle PQR, right angled at Q, PR + QR = 25cm and PQ = 5cm. Determine values of sin P, cos P and tan P.; Q.11. State whether the following are true or false. Justify your answer. (i) The value of tanA is always less than 1, (ii) sec A = 12/5 for some value of angle A., (iii) cos A is the abbreviation used for the cosecant of angle A., (iv) cot A is the product of cot and A., (v) sinθ=4/3 for some angle θ.
