Problem 4
In \(3-14,\) for each given function value, find the remaining five trigonometric function values. \(\cos \theta=\frac{3}{4}\) and \(\theta\) is in the first quadrant.
Problem 6
In \(3-22 :\) a. Rewrite each function value in terms of its cofunction. b. Find, to four decimal places, the value of the function value found in a. $$ \sin 86^{\circ} $$
Problem 7
In \(3-12,\) find the radian measure of each angle whose degree measure is given. \(160^{\circ}\)
Problem 7
In \(3-14,\) find each value of \(\theta : \mathbf{a} .\) in degrees \(\mathbf{b} .\) in radians $$ \theta=\arccos \left(-\frac{1}{2}\right) $$
Problem 10
In \(3-12\) , find the exact function value of each of the following if the measure of the angle is given in radians. $$ \sec \frac{\pi}{3} $$
Problem 11
In \(3-12\) , find the exact function value of each of the following if the measure of the angle is given in radians. $$ \csc \pi $$
Problem 12
In \(3-14,\) for each given function value, find the remaining five trigonometric function values. \(\csc \theta=\frac{5}{4}\) and \(\theta\) is in the second quadrant.
Problem 12
In \(3-14,\) find each value of \(\theta : \mathbf{a} .\) in degrees \(\mathbf{b} .\) in radians $$ \theta=\arcsin 1 $$
Problem 15
In \(15-23,\) use a calculator to find each value of \(\theta\) to the nearest degree. $$ \theta=\arcsin 0.6 $$
Problem 20
In \(15-23,\) use a calculator to find each value of \(\theta\) to the nearest degree. $$ \theta=\arccos (-0.9) $$