Question

If sin theta = 1/2 and pi/2 < theta < pi , what are the values of cos and tan?

Answer 1

Answer:

• cos(θ) = -(√3)/2
• tan(θ) = -(√3)/3

Step-by-step explanation:

Referring to the attached short table of trig functions, we see that the reference angle with sin(θ) = 1/2 is π/6. The table also shows cosine and tangent values for that angle.

In the second quadrant, where π/2 < θ < π, the cosine and tangent are both negative. The values you seek are ...

  cos(θ) = -(√3)/2

  tan(θ) = -1/√3 = -(√3)/3