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### Geometry8.10 Trignometry Formulas

 sin (A + B) = sinA cosB + cosA sinB sin (A - B) = sinA cosB - cosA sinB cos (A + B) = cosA cosB - sinA sinB cos (A - B) = cosA cosB + sinA sinB tan (A + B) = tanA + tanB / 1 - tanAtanB tan (A - B) = tanA - tanB / 1 + tanAtanB

Example: cos 15
cos 15o = cos (45 - 30)
cos 45 cos 30 + sin 45 sin 30
1/Ö2xÖ3/2+1/Ö2x1/2
(Ö3+1)/2Ö2

Directions: Solve the following questions. Also write at least 10 examples of your own.
 Q 1: Evaluate cos 130ocos400+sin130osin40o01-1/2 Q 2: Evaluate cos 210oÖ3Ö3/21/2 Q 3: Prove that cos 105o+cos 15o = sin 75o-sin15oAnswer: Q 4: cos 75oÖ5Ö3/2(Ö3-1)/2(Ö2 Q 5: Evaluate sin 105o+cos o1/21/Ö21 Q 6: cot(-315o)Ö2-1/21 Q 7: find tan13P/12Ö3/42-Ö3Ö2 Q 8: tan330o-1/Ö31/30 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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