Math1014 Final Exam Formula Sheet Trigonometric Identities cos2 θ
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Math1014 Final Exam Formula Sheet Trigonometric Identities cos2 θ + sin2 θ = 1 sin(A + B) = sin A cos B + sin B cos A 1 + tan2 θ = sec2 θ sin(A − B) = sin A cos B − sin B cos A 1 + cot2 θ = csc2 θ cos(A + B) = cos A cos B − sin A sin B sin 2θ = 2 sin θ cos θ cos 2θ = 2 cos2 θ − 1 = 1 − 2 sin2 θ tan 2θ = 2 tan θ 1 − tan2 θ cos(A − B) = cos A cos B + sin A sin B sin A cos B = 12 sin(A + B) + sin(A − B) cos A cos B = 12 cos(A + B) + cos(A − B) sin A sin B = 12 cos(A − B) − cos(A + B) tan A + tan B 1 − tan A tan B tan A − tan B tan(A − B) = 1 + tan A tan B tan(A + B) = Z Z 1 n−1 cos xdx = cosn−1 x sin x + n n Z 1 n−1 sin xdx = − sinn−1 x cos x + n n n n Z Z 1 n−2 sec xdx = secn−2 x tan x + n−1 n−1 n cosn−2 xdx sinn−2 xdx Z secn−2 xdx
