If sin θ = 1 over 4 and tan θ > 0, what is the value of cos θ?

Answer 1

tangent is positive in quadrants 1 and 3.

sin is positive in quadrants 1 and 2

so quadrant 1 it is

inverse_sine ( 1/4) = 14.477512185929923878771034799127+.........

The cosine of this angle is 0.9628458365518542212948163499456....