Question

In a right triangle, the side opposite angle θ is 3 cm and the side adjacent to it is 4 cm. Find sin θ, cos θ, and tan θ.

Solution

1. Find the hypotenuse using Pythagoras theorem: √(3^2 + 4^2) = √25 = 5 cm.
2. sin θ = opposite / hypotenuse = 3/5.
3. cos θ = adjacent / hypotenuse = 4/5.
4. tan θ = opposite / adjacent = 3/4.