Question

Assertion (A): sin θ = opposite side/hypotenuse Reason (R): tan 90° = 0

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 in a right angled ∆ABC, tan B = 12/5, then find sin B.

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