The first group of questions only require a scientific calculator.

The second set, at this point your text expects you to have an intimate knowlege of the special angles. Read This:

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Certain angles have trig values that may be computed exactly. Of these, the angles listed below are some of the angles most commonly used in math classes.Trig Values of Special Angles

Exact Values of Trig Functions

See also

Special angles, trig functions, degrees, radians, sine, cosine, tangent, cosecant, secant, cotangent