SOLUTION: Please help me: 2. If cos x=1/2, then sin x= ? 3. If cotx=1, then x= ? Thanks

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: Please help me: 2. If cos x=1/2, then sin x= ? 3. If cotx=1, then x= ? Thanks      Log On

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 Question 383471: Please help me: 2. If cos x=1/2, then sin x= ? 3. If cotx=1, then x= ? ThanksAnswer by stanbon(57228)   (Show Source): You can put this solution on YOUR website!2. If cos x=1/2, then sin x= ? ---- If cos(x) = 1/2 then x=1 and r = 2 Then y = sqrt(r^2-x^2) = sqrt(4-1) = sqrt(3) ---- But y can be positive or negative. ---- So sin(x) = y/r = sqrt(3)/2 or sin(x) = y/r = -sqrt(3)/2 ============================================================= 3. If cotx=1, then x= ? --- x = 45 degrees or x = 180+45 = 225 degrees ================================================ Cheers, Stan H.