lyounamu
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a) L.H.S. = 2cosx - tanx = 2PS/PQ - QR/PQ = (2PS - QR)/PQ = PR/PQ = secx = R.H.S.FDownes said:Time for another question;
A triangle PQR is right-angled at Q. S is the point on PR such that QS is perpendicular to PR. Let angle RPQ = x. You are given that 2PS - QR = PR.
a) Show that 2cosx - tanx = secx.
b) Deduce that 2sin2 + sinx - 1 = 0.
c) Find x.