Mastering Trigonometry for Quantitative Aptitude (Chapter-12): 100 MCQS to Ace Competitive Exams in India

If sin(θ) = 3/5 and cos(φ) = 5/13, where θ and φ are acute angles, then the value of sin(θ + φ) is:

If a and b are positive, then the relation sinθ = (2a+3b)/3bm is

If a and b are positive, then the relation sinθ = (2a+3b)/(3b) is

If sec θ+ tan θ = x, then sec θ =

If sin(α) = 4/5 and cos(β) = 7/25, where α and β are acute angles in the same quadrant, then the value of sin(α + β) is:

If x = a sin θ and y = a cos θ then the value of x² + y² is _______

Consider the following statements-
I- cos θ + sec θ can never be equal to 1.5.
II- sec2θ+cosec2 θ can never be less than 4.
Which of the statements given above is/are correct?

If cos(θ) = -1/2 and θ is an obtuse angle, then tan(θ) equals:

A rhombus of side 20 cm has two angles of 60° each, then the length of the diagonals is (in cm) :-

A kite is flying at a height of 50√ 3 m above the level ground, attached to string inclined at 60° to the horizontal, the length of string is

If sin x cos x = 1/2, then what is the value of sin (x – cos x)?

If sin (A + B) = 3√2 and tan (A – B) = 1. What are the values of A and B?

What is (sec x)/(cot x + tan x) equal to ?

Which one of the following is correct?

If tan θ + sec θ = 2, then tan θ is equal to

If tan(θ) = √3, then the value of cot(θ) is

sin θ/√1-sin² θ

If tan (x + 40)° tan (x + 20)° tan (3x)° tan (70 – x)° tan (50 – x)° = 1, then the value of x is equal to

If p = a sin x + b cos x and q = a cos x – b sin x, then what is the value of p²+q² ?

ABC is a right triangle with right angle at A. If the value of tan B = 1/√3 , then for any real k the length of the hypotenuse is of the form