Question

If tan θ = ¾, then Sin θ is:

Answer 1

tan = opposite / adjacent

sin = opposite / hypotenuse

u have 2 draw a triangle... right angled... use Pythagoras theorem to solve for the unknown side

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Answer 2

If tangent of theta = 3/4 then theta = arctangent of 3/4 or 36.87 Degrees.
So the sine of theta = sine 36.87 Degrees = .6

Answer 3

or u can do like this..
\[\sin^2 \theta =1-\cos^2 \theta=1-\frac{ 1 }{ \sec^2 \theta }=1-\frac{ 1 }{ 1+ \tan^2 \theta }\]
then square root it