Question

Give that tan tetha is equal to 3/4 find the values of cos tetha,cos tetha-sin theta,sin tetha.

Answer 1

Imagine a 3-4-5 right triangle. The hypotenuse is 5.

It tan theta = 3/4, the side opposite to theta is 3 and the shortest adjacent side is 4.

It should be obvious that
cos theta = 4/5

cos theta - sin theta = 4/5 - 3/5 = 1/5

sin theta = 3/5