Question

Assertion (A): The value of each trigonometric ratio of an angle does not vary with the lengths of the sides of the triangle if the angle remains the same. Reason (R): In a right-angled triangle ABC, sin θ = BC/AC < 1 and cos θ = AB/AC < 1 as the hypotenuse is the longest side.

If 5 sin θ = 4, prove that 1/cosθ + 1/cotθ = 3

In figure, ∆PQR right angled at Q, PQ = 6 cm and PR = 12 cm. Determine ∠QPR and ∠PRQ.

If tan θ = a/x, find the value of cos θ.