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Trig./Pre-Calc 4.3A Right Triangle Trigonometry Example #1 Find the exact value of the six trigonometric functions of the angle given in the accompanying figure. (Use the Pythagorean Theorem to find the third side of the angle.) 4 6 Example #2 Sketch a right triangle corresponding to the trigonometric function of the acute angle . Use the Pythagorean Theorem to determine the third side and then find the other five trigonometric functions of . a) tan = 5 2 b) sin 5 6 Example #3 Evaluate the trigonometric function by constructing an appropriate triangle for the special angle. a) cos 60° b) tan 6 Example #4 Complete the identity. a) sin 1 b) sin( 90 ) Example #5 Use the given functional values and trigonometric identities (including the relationship between a trigonometric function and its co-function of a complementary angle) to find the trigonometric functions. sin 60 3 , 2 (a) tan 60 cos 60 1 2 (b) sin 30 (c) cos 30 (d) cot 60 Example #6 Review Problems. a) Solve for x. 1 1 10 2 x3 x3 x 9 b) Solve for x by extracting square roots. (2x-1)2 = 12 4-3A Pg. 284 #2-44 even (Note: on # 6 and #8, use the first triangle only)