Answer to Question #180811 in Geometry for Mayuka

Question

1. Determine the exact value of the other five trigonometric functions if sin 𝜃 = (−6,7) and 𝜃 is in quadrant IV.

2. Find all the values of 𝜃 between 0 and 2𝜋 that satisfy the equation, cot 𝜃 = −√3 .

3. Suppose that cos θ = 0.42 and 0<=𝜃<𝜋/2. Use the symmetry of the unit circle to find the exact

values of cos (θ + π).

Answer 1

1)The condition is incorrect, since sin  𝜃 cannot be greater than 1 or less than -1

2) 𝜃=5𝜋/6 and 11𝜋/6

3)cos (θ + π)=-0.42