Question

if cosθ=1/4, find tanθ?

Answer 1

In which quadrants is cosine positive?

Answer 2

Are there any constraints on tangent?

Answer 3

cosine is positive in quadrants 1 and 4

Answer 4

and θ is between 0 and 90 degrees

Answer 5

\[find (\sin \theta) first ---->\sin \theta=(\sqrt{1-\cos^2 \theta})\]

Answer 6

now \[\tan \theta=\sin \theta/\cos \theta\]

Answer 7

tan theta is positive cuz 0-90 degrees means first quadrant..