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Trigonometry
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El Camino College
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Math 170 Unit 3 Chapter 5 – Identities and Formulas Section 5.1 and 1.4 Directions:  Work ONLY with ONE side of the equation.  Your goal is to make it look like the other side. Hints:  Work with the messier side first  Change everything to sine & cosine.  For squared trig functions – use Pythagorean identities  For sum or difference in the denominator – multiply by the conjugate 1) sin 2 x  sin x csc x  sec2 x 2 cos x 1 Math 170 2) 1  cos x  (cot x  csc x) 2 1  cos x 3) 1 1   2 sec 2 x 1  sin x 1  sin x 4) cos x  1 cos x  tan 2 x sec x  1 Unit 3 2 Math 170 5) (1 – cos x) (1 + sec x) = Unit 3 tan x ∙ sin x 6) sin2x (csc2x – 1) = cos2x 7) cos2 x  sin 2 x  2 cot(2 x) sin x cos x 3 Math 170 8) Unit 3 cos x  sin x  cot x  1 sin x 9) (sin x + cos x)2 = sin 2x + 1 10) sin 2 x   2 tan x 1  tan 2 x 4 Math 170 11) Unit 3 sin 2 x x x  cos2  sin 2 2 sin x 2 2 1  tan 2 x 12) cos 2 x  1  tan 2 x 5 Math 170 13) cos 2 x  Unit 3 2  sec2 x sec2 x 14) tan x + cot x = 2 csc 2x 6 Math 170 Unit 3 tan 2 x  1 15)  sec x sec x  x  2 cos x 16) 1  tan 2     2  1 cos x 7 Math 170 17) Unit 3 sin (a  b)  tan a  tan b cos a cos b 18) sin 2 x  tan 2 x  cos2 x  sec2 x 8 Math 170 19) (tan   1) (tan   1)  sec 2  2 tan  20) 1 1  1 tan x  1 cot x  1 ...
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