If with 0 < θ < 90°, then what is θ equal to?
If 3 sin x + 5 cos x = 5, then what is the value of (3 cos x – 5 sin x)?
If tan (A + B) = √3 and tan A = 1, then tan (A - B) is equal to
The angles of elevation of the top of a tower from two points situated at distance 36 m and 64 m from its base and in the same straight line with it are complementary. What is the height of the tower?
If 2 cot θ = 3, then what is the value of (2 cos θ - sin θ) / (2 cos θ + sin θ)?
The value of cosec2 67 + sec2 57 - cot2 33 - tan2 23 is
If tan A + cot A = 4, then tan4 A + cot4 A is equal to
The angle of elevation of the tip of a tower from a point on the ground is 45°. Moving 21 m directly towards the base of the tower, the angle of elevation changes to 60°. What is the height of the tower, to the nearest meter?
If sin x + cos x = c, then sin6 x + cos6 x is equal to
What is the angle of elevation of the sun when the shadow of a pole is √3 times the length of the pole?
From an aeroplane vertically above a straight horizontal road, the angle of depression of two consecutive kilometer stones on the opposite sides of the aeroplane are found to be α and β. The height of the aeroplane above the road is
From the top of a building 90 m high, the angles of depression of the top and the bottom of a tree are 30° and 45° respectively. What is the height of the tree?
If x = a cos θ + b sin θ and y = a sin θ – b cos θ, then what is x2 + y2 equal to?
An aeroplane flying at a height of 300 m above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60° and 45° respectively. What is the height of the lower plane from the ground?
If 7 sin2 x + 3 cos2 x = 4, 0 < x < 90°, then what is the value of tan x?
What is equal to?
What is the value of
What is the value of which satisfies the equation cos θ + tan θ = 1?
If cos θ1 + cos θ2 + cos θ3 = 3, then what is sin θ1 + sin θ2 + sin θ3 equal to?
What is the minimum value of 9 tan2 θ + 4 cot2 θ
If D is the number of degrees and R is the number of radians in an angle θ, then which one of the following is correct?