tan (x -- b)-tan (x - 4) sin (a - b) 1 (ii) cos(x - a) cos (x - b) If sin a sin B - COS O COS B + 1 = 0, prove that 1 + coto tan B = 0.
If tan a = x + 1, tan B = x -1, show that 2 cot (a.- B) = x?
If angle is divided into two parts such that the tangents of one part is 2.times the tangent of other, and ois their difference, then show that sin 0 = sin a.- cos a sin o + cos a Il a and B are two solutions of the equation atan x +b secx = C, then find the values o 2+1 sin .
2.-1 then show that sin 0.+ cos a = 12.cosx.
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