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using the trigonometric identities ∙ xtanx = sinx cosx and secx = 1 cosx ∙ xsin2x + cos2x = 1 ⇒ cosx + sinx × sinx cosx = cos2x cosx + sin2x cosx = cos2x +sin2x cosx = 1 cosx = secx Use inverse trigonometric functions to find the solutions, and check for extraneous solutions. sin (-x) = -sin (x) csc (-x) = -csc (x) cos (-x) = cos (x) sec (-x) = sec (x) tan (-x) = -tan (x) cot (-x) = -cot (x)
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