Question

If sinΘ = 4/5 and is in quadrant 2, the value of tanΘ is _____.
Please provide a step-by-step process for me. Thank you so much for your time.

Answer 1

if sin(theta) = 4/5

then what is cos(theta)

Answer 2

CosΘ = -3/5.

Answer 3

now use the identity

tan(theta) = sin(theta)/cos(theta)

Answer 4

So tanΘ would be -4/3, correct?

Answer 5

you got it

Answer 6

Thank you so much for your time. =)

Answer 7

you're welcome