Question

if 3sin theta =2 and cos greater than 0,with the aid of a diagram determine the value of:
a) tan theta
b) sin theta/cos theta
c) sin^2 theta + cos^2 theta

Answer 1

you have
sinθ = 2/3
if sin and cos are both positive, then θ is in QI.

So, now draw the triangle.
y = 2
r = 3, so
x = √5

Now just use those values and the fact that

sinθ = y/r
cosθ = x/r
tanθ = y/x

to answer the questions.
The last one should be easy, since it is always the same value.