Question

if sin theta =a/b then tan theta=_____
do step by step please​

Answer 1

Answer:

tan theta =

(adj side)^2=(hyp)^2-(opp side)^2

in sin theta,a/b=opp side/hypotenuse

so hyp=b

opp side=a

then (adj side )^2=b^2-a^2

adj side =√b^2-a^2

so tan theta=opp side/adj side

=a/√b^2-a^2...

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

if sinθ = a / b

as we know that

sinθ= side opposite to theta / hypo

          = a/b

[hypo]² = [base]²+ [height]²

b² = a² + height²

height =$\sqrt{a^{2} -b^{2} }$

tanθ = sinθ /cosθ = a/$\sqrt{a^{2} -b^{2} }$