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TRIGONOMETRY 1. a) Half Angle Formulas NAME____________________ Date__________Per.________ Which double angle equals these three formulas? (cosθ )2 − (sinθ )2 = 2 cos2 θ − 1 = 1− 2 sin2 θ = b) Let u = 2θ. Then dividing both sides by 2, θ = Substitute θ = u/2 in part 1b) into the double angle formula that only has “cos” in it. so that x is the only variable. 2. a) b) Add 1 to cos(2θ) = cos(u) = both sides = c) Divide both sides by 2 = d) Take the square root of both sides: = 3. a) Substitute the identities in part 1b) into the double angle formula that only has “sin” in it. so that u is the only variable. cos(2θ) = cos(u) = c) Subtract 1 from both sides = d) Divide both sides by -2 = e) Take the square root of both sides: 4. + 1 + cosu = 2 = + 1 − cos u 2 =