hlo frnds
cn anyone cn give me top 10 questions of trigonometry??
no spam
no copy paste
Answers
Here are the questions which have been asked in Cbse in different years
1. sin 3θ= cos(θ-6°) and 3θ and θ-6° are acute angles, find value of θ.
2. If tan A=4/3, then find value of
SinA + CosA, SinA - CosA.
3. If cosθ+sin θ=√2cosθ,
show that cosθ-sinθ=√2sinθ.
4.If 7 sin^2θ+ cos^2θ=44,
show that tan=1/√3.
5. If sec4A=cosec(A-20°),
where 4A is a acute angle, find the value of A.
6.State whether the following are true or false. Justify your answer.,
(i) sin (A + B) sin A + sin B.
(ii) The value of sinθ increases as θincreases.
(iii) The value of cosθ increases as θincreases.
(iv)sinθ= cosθ for all values of q.
(v) cot A is not defined for A = 0°.
7.Show that:
tan 48° tan 23° tan 42° tan 67° = 1
8. Express the trigonometric ratios sin A, sec A and tan A in terms of cot A.
9.Write all the other trigonometric ratios of ∠A in terms of sec A.
10. If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.
Hey mate....
here's the answer....
1. In a right triangle ABC, tan(A) = 3/4. Find sin(A) and cos(A).
2.In a right triangle ABC with angle A equal to 90°, find angle B and C so that sin(B) = cos(B).
3. A rectangle has dimensions 10 cm by 5 cm. Determine the measures of the angles at the point where the diagonals intersect.
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.
5. From the top of a 200 meters high building, the angle of depression to the bottom of a second building is 20 degrees. From the same point, the angle of elevation to the top of the second building is 10 degrees. Calculate the height of the second building.
6. Karla is riding vertically in a hot air balloon, directly over a point P on the ground. Karla spots a parked car on the ground at an angle of depression of 30°. The balloon rises 50 meters. Now the angle of depression to the car is 35 degrees. How far is the car from point P?
7. If the shadow of a building increases by 10 meters when the angle of elevation of the sun rays decreases from 70° to 60°, what is the height of the building?
8. 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.
9. ABC is a right triangle with a right angle at A. Find x the length of DC.
10. Find the lengths of all sides of the right triangle below if its area is 400.