Precalculus : Find the value of any of the six trigonometric functions

Example Questions

Example Question #1 : Trigonometric Functions

Solve the following:       Explanation:

Rewrite in terms of sine and cosine functions. Since these angles are special angles from the unit circle, the values of each term can be determined from the x and y coordinate points at the specified angle.

Solve each term and simplify the expression. Example Question #1 : Trigonometric Functions Find the value of .      Explanation:

Using trigonometric relationships, one can set up the equation  .

Solving for , Thus, the answer is found to be 29.

Example Question #1 : Trigonometric Functions Find the value of .      Explanation:

Using trigonometric relationships, one can set up the equation .

Plugging in the values given in the picture we get the equation, .

Solving for , .

Thus, the answer is found to be 106.

Example Question #1 : Trigonometric Functions

Find all of the angles that satistfy the following equation:      OR  OR Explanation:

The values of that fit this equation would be: and because these angles are in QI and QII where sin is positive and where . is incorrect, because it includes inputs that provide negative values such as: Thus the answer would be each multiple of and , which would provide the following equations: OR All Precalculus Resources 