Solve trigonometric equations and identities
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1. What was the most interesting thing that you learned in studying plane trigonometrfy? Tell briefly why you selected it as your choice.
2. Following the instructions in Art. 4, draw the portion of the graph of y = cos x from 0 degrees to 360 degrees. Be sure to show a table of values similar to the table on page 6.
Solve the following trigonometric equations. Give all positive values of the angle between 0 degrees and 360 degrees that will satisfy each. Give any approximate value to the nearest minute only.
3. sin 2theta = (square root 3) / 2
4. sin 2x - cos x = 0
5. sin (2x - 10 degrees) = 1/2
6. cos 2x - sin^2 (x/2) + (3/4) = 0
7. sin^2 theta = cos^2 theta + 1/2
8. cos 4x = sin 2x
9. 3 sin theta - 4 cos theta = 2
10. tan (x + 15 degrees) = 3 tan x
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Solution Summary
In step by step format, this solution provides explanations and calculations for each of the trigonometric equations.
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