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Solve the followings Questions. 1. A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle…
Solve the followings Questions. 1. Express the trigonometric ratios sin A, sec A and tan A in terms of cot A. 2. Write all the other trigonometric ratios of ∠A in terms of sec A. Answer: 3. Evaluate : (i)…
Solve the followings Questions. 1. Evaluate :(i) sin 18°/cos 72° (ii) tan 26°/cot 64° (iii) cos 48° – sin 42° (iv) cosec 31° – sec 59° Answer: (i) sin 18°/cos 72°= sin (90° – 18°) /cos 72°= cos 72° /cos…
Solve the followings Questions. 1. Evaluate the following :(i) sin 60° cos 30° + sin 30° cos 60°(ii) 2 tan245° + cos230° – sin260°(iii) cos 45°/(sec 30° + cosec 30°) (iv) (sin 30° + tan 45° – cosec 60°)/(sec 30°…
Solve the followings Questions. 1. In Δ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine :(i) sin A, cos A(ii) sin C, cos C Answer: Let us draw a right angled triangle ABC, right angled…
Solve the followings Questions. 1. Determine t]“1he ratio in which the line 2x + y -4 =0 divides the line segment joining the points A(2,-2) and B(3,7). Answer: Let the given line divide the line segment joining the points A(2,…
Solve the followings Questions. 1. Find the area of the triangle whose vertices are: (i) (2, 3), (–1, 0), (2, –4) (ii) (–5, –1), (3, –5), (5, 2) Answer: (i) (2, 3), (–1, 0), (2, –4) Area of Triangle is…
Solve the followings Questions. 1. Find the coordinates of the point which divides the join of (- 1, 7) and (4, – 3) in the ratio 2:3. Answer: Let P(x, y) be the required point. Using the section formula Therefore…
Solve the followings Questions. 1. Find the distance between the following pairs of points: (i) (2, 3), (4,1) (ii) (–5, 7), (–1, 3) (iii) (a, b), (–a, –b) Answer: (i) Distance between the points is given by Therefore the distance…
Solve the followings Questions. 1. In figure, PS is the bisector of ∠QPR of Δ PQR. Prove that QS/SR = PQ/PR . Answer: Given: Let us draw a line segment RT parallel to SP which intersects extended line segment QP…