aakanksha8603
08-11-2007, 10:47 AM
Trigonometry
1. The angle of elevation to the top of a hill at the foot of a tower is 600 and the angle of elevation of top of the tower from the foot of the hill is 300. If the tower is 50 m high, what is the height of the hill?
2. From a point P on the ground, the angles of elevation of the top of a 10m tall building and of a helicopter, hovering at some height over the top of the building, and 300 and 600, respectively. Find the height
Prove the following
3.
Or
4.
5.
6. Evaluate
7 Evaluate
8. If A, B, C are the interior angles of a triangle ABC, show that
9.
10 The angels of elevation of the top of a tower, as seen from two points A and B situated in the same line and at distances p and q respectively from the foot of the tower are complementary. Prove that the height of the tower is .
Prove the following:
1. (3)
2. (3)
3. (3)
4. . (3)
5. (3)
6. (3)
7. (3)
8. (3)
9. (3)
10. (3)
Q.1 If A, B, C are the interior angles of a triangle ABC, show that (3)
Q.2 (3)
Q.3 If sin = cos - 6 ◦, where and - 6 ◦ are acute angles, find the value of (3)
Q.4 (3)
Q.5 (3)
Q.6 (3)
Q.7 Evaluate (3)
Q.8 Evaluate (3)
Q.9 Show that tan4A + tan2A = sec4A- sec2A (3)
Q. 10 Simplify: (sec + tan ) (1- sin ) (3)
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1. The angle of elevation to the top of a hill at the foot of a tower is 600 and the angle of elevation of top of the tower from the foot of the hill is 300. If the tower is 50 m high, what is the height of the hill?
2. From a point P on the ground, the angles of elevation of the top of a 10m tall building and of a helicopter, hovering at some height over the top of the building, and 300 and 600, respectively. Find the height
Prove the following
3.
Or
4.
5.
6. Evaluate
7 Evaluate
8. If A, B, C are the interior angles of a triangle ABC, show that
9.
10 The angels of elevation of the top of a tower, as seen from two points A and B situated in the same line and at distances p and q respectively from the foot of the tower are complementary. Prove that the height of the tower is .
Prove the following:
1. (3)
2. (3)
3. (3)
4. . (3)
5. (3)
6. (3)
7. (3)
8. (3)
9. (3)
10. (3)
Q.1 If A, B, C are the interior angles of a triangle ABC, show that (3)
Q.2 (3)
Q.3 If sin = cos - 6 ◦, where and - 6 ◦ are acute angles, find the value of (3)
Q.4 (3)
Q.5 (3)
Q.6 (3)
Q.7 Evaluate (3)
Q.8 Evaluate (3)
Q.9 Show that tan4A + tan2A = sec4A- sec2A (3)
Q. 10 Simplify: (sec + tan ) (1- sin ) (3)
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