Q. Prove the following: 1+3cos(theta)-4cos^3(theta)/1-cos(theta) = (1+2cos(theta))^2

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Q.Prove that: [1+Tan^2(pie/4-A)] / [1-Tan^2(pie/4-A)] = cosec2A Soln: L.H.S. = [1 + Tan2(p/4-A)]/[1 – Tan2(p/4-A)] = 1/[{1 – Tan2(p/4-A)}/{ 1 + Tan2(p/4-A)}] = 1/[cos2(p/4-A)] ...
Q. Determine the equation of the line the portion of which, intercepted by the axes, is divided by the point (-5,4) in the ratio 1:2. Soln: We know that the point (-5,4) divides the line in the ratio m:n = 1:2 Let the line through the point (-5,4) meets x-axis ...