Mathematics : Trigonometry - Section B Questions.

Section B : Trigonometry Questions.

Questions 1: The area of a right triangle is 50. One of its angles is 45°. Find the lengths of the sides and hypotenuse of the triangle.

Questions 2: In a right triangle ABC, tan(A) = 3/4. Find sin(A) and cos(A).

Questions : In a right triangle ABC with angle A equal to 90°, find angle B and C so that sin(B) = cos(B).

Questions 3: A rectangle has dimensions 10 cm by 5 cm. Determine the measures of the angles at the point where the diagonals intersect.

Questions 4: The lengths of side AB and side BC of a scalene triangle ABC are 12 cm and 8 cm respectively. The size of angle C is 59°. Find the length of side AC.

Questions 5: Two friends, Rakesh and Vishal started climbing a pyramid-shaped hill. Rakesh climbs 315 mtr and finds that the angle of depression is 72.3 degrees from his starting point. How high he is from the ground.

Questions 6: A man is observing a pole of height 55 foot. According to his measurement, pole cast a 23 feet long shadow. Can you help him to know the angle of elevation of the sun from the tip of shadow?

Questions 7: In ΔABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine:     

 (i) Sin A, cos A                                          (ii) sin C, cos C

Questions 8: Given 15 cot A = 8, find sin A and sec A.

Questions 9: If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.

Questions 10: In ΔPQR, right-anlged at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.

Questions 11: Express sin 67° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.

Questions 12: In △ABC, right-angled at B, AB=22cm and BC=17cm. Find:

(a) sin A Cos B

(b) tan A tan B

Questions 13: If 12cot θ= 15, then find sec θ?

Questions 14: In Δ PQR, right-angled at Q, PR + QR = 30 cm and PQ = 10 cm. Determine the values of sin P, cos P and tan P.

Questions 15: If sec 4θ = cosec (θ- 300), where 4θ is an acute angle, find the value of A.