Maths Trignometric Ratios Exercise17
Q1 (a) From the figure (1) given below, find the values of:
(i) sin θ
(ii) cos θ
(iii) tan θ
(iv) cot θ
(v) sec θ
(vi) cosec θ
(b) From the figure (2) given below, find the values of:
(i) sin A
(ii) cos A
(iii) sin2 A + cos2 A
(iv) sec2 A – tan2 A.
Q2 (a) From the figure (1) given below, find the values of:
(i) sin B
(i) cos C
(iii) sin B + sin C
(iv) sin B cos C + sin C cos B.
(b) From the figure (2) given below, find the values of:
(i) tan x
(ii) cos y
(iii) cosec2 y – cot2 y
(iv) 5/sin x + 3/sin y – 3 cot y.
Q3 (a) From the figure (1) given below, find the value of sec θ.
(b) From the figure (2) given below, find the values of:
(i) sin x
(ii) cot x
(iii) cot2 x- cosec2 x
(iv) sec y
(v) tan2 y – 1/cos2 y.
Q4 (a) From the figure (1) given below, find the values of:
(i) 2 sin y – cos y
(ii) 2 sin x – cos x
(iii) 1 – sin x + cos y
(iv) 2 cos x – 3 sin y + 4 tan x
(b) In the figure (2) given below, ∆ABC is right-angled at B. If AB = y units, BC = 3 units and CA = 5 units, find
(i) sin x0
(ii) y.
Q5 In a right-angled triangle, it is given that angle A is an acute angle and that tan A=5/12. Find the values of:
(i) cos A
(ii) cosec A- cot A.
Q6 (a) In ∆ABC, ∠A = 900. If AB = 7 cm and BC – AC = 1 cm, find:
(i) sin C
(ii) tan B
(b) In ∆PQR, ∠Q = 900. If PQ = 40 cm and PR + QR = 50 cm, find:
(i) sin P
(ii) cos P
(iii) tan R.
Q7 In triangle ABC, AB = 15 cm, AC = 15 cm and BC = 18 cm. Find
(i) cos ∠ABC
(ii) sin ∠ACB.
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