If tan θ = find the value of sin θ.

Find x, if sin x = cos (x – 20°)

State True or False: The values ​​of cos 36° and sin 54° are equal.

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

If 0° < θ < 90° then sin θ < sin²θ

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

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

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

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

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.

Ms. Sushmita went to a fair and participated in a game. A box contained number cards numbered from 01 to 30. The prizes were awarded as follows: Prize Number on the card drawn at random is a Wall clock Perfect square Water bottle Even number which is also a multiple of 3 Purse Prime number Find the probability of winning: (a) a wall clock. (b) a water bottle. (c) a purse.