If ∠A and ∠B are complementary then ∠A + ∠B = _____

If tan θ = find the value of sin θ.

If tan θ cos 60° = then the value of sin(θ - 15°) is _____.

If sin (θ + 30°) = cos 15°, then find the value of cos 2θ.

If tan 2A = cot(A – 30°), then find the value of sec(A + 20°)

If 0° < θ < 90° then sin θ < sin²θ

Find x, if sin x = cos (x – 20°)

If sin 17° = then show that sec 17° - sin 73° =

If r cosθ = 2√3 and r sinθ = 2, then find the value of r and θ when 0° < θ < 90°.

If A = , then A² is equal to: (a) (b) (c) (d)

Statement 1: The point which is equidistant from three non-collinear points D, E and F is the circumcentre of △DEF. Statement 2: The incentre of a triangle is the point where the bisectors of the angles intersect. (a) Both statements are true. (b) Both statements are false. (c) Statement 1 is true and Statement 2 is false. (d) Statement 1 is false and Statement 2 is true.

(x + 3), 1, (3x − 7) and −5 are in proportion. The value of x is : (a) −1 (b) 1 (c) −5 (d) 5