Main Ideas of Hon PreCalc Ch. 5 Class 1 Six Trigonometric Functions Odd and Even Functions Pythagorean Identities sin2ө + cos2ө = 1 tan2ө + 1 = sec2ө cot2ө + 1 = csc2ө Cofunctions of complementary angles sin ( 𝜋 2 – ө) = cos(ө) cos( 𝜋 2 – ө) = sin(ө) tan( 𝜋 2 – ө) = cot(ө) sec( 𝜋 2 – ө) = csc(ө) csc( 𝜋 2 – ө) = sec(ө) cot( 𝜋 2 – ө) = tan(ө) Applying Trigonometric Identities

Main Ideas of Hon PreCalc Ch. 5 Class 2 Solving Equations Factoring Problems with Multiples of Angles: sin2x = 1/2 Using Inverses

Main Ideas of Hon PreCalc Ch. 5 Class 3 Sum and Difference Formulas sin(x + y) = sinx cosy + cosx sin y cos(x + y) = cosx cosy – sinx siny sin(x - y) = sinx cosy - cosx sin y cos(x - y) = cosx cosy + sinx siny tan(x+y) = 𝑡𝑎𝑛𝑥+𝑡𝑎𝑛𝑦 1 − 𝑡𝑎𝑛𝑥𝑡𝑎𝑛𝑦 tan(x-y) = 𝑡𝑎𝑛𝑥−𝑡𝑎𝑛𝑦 1+ 𝑡𝑎𝑛𝑥𝑡𝑎𝑛𝑦