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### Geometry8.5 Trigonometric Values of Angles

 Function In terms of sin and cos In a right angle 0o 30° 45° 60° 90° sin sin opposite / hypotenuse 0 1/2 Ö2/2 Ö3/2 1 cos cos adjacent / hypotenuse 1 Ö3/2 Ö2/2 1/2 0 tan sin / cos opposite / adjacent 0 Ö3/3 1 Ö3 undefined sec 1 / cos hypotenuse / adjacent 1 2Ö3/3 Ö2 2 undefined csc 1 / sin hypotenuse / oppostie undefined 2 Ö2 2Ö3/3 1 cot cos / sin adjacent / opposite undefined Ö3 1 Ö3/3 0

The following table shows a simple way to remember the trigonometric values of angles.

 Function 0o 30° 45° 60° 90° sin Ö0/2 Ö1/2 Ö2/2 Ö3/2 Ö4/2 cos Ö4/2 Ö3/2 Ö2/2 Ö1/2 Ö0/2 tan 0 Ö3/3 1 Ö3 undefined sec 1 2Ö3/3 Ö2 2 undefined csc undefined 2 Ö2 2Ö3/3 1 cot undefined Ö3 1 Ö3/3 0

Directions: Find the trigonometric values for the following. Also write at least 10 examples of your own.
 Q 1: cosec 90Answer: Q 2: cos 90Answer: Q 3: cosec 30 Answer: Q 4: tan 0 Answer: Q 5: sin 0Answer: Q 6: sec 0 Answer: Q 7: tan 45Answer: Q 8: cot 45 Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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