Question

If u= sec theta+tan theta, prove that (ï) tan theta=u²-1/2u;(ii) sin theta=u²-1/u²+1.
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Answer 1

Answer:

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• If sectheta - tantheta = x , then show that sectheta + tantheta = 1x and hence find the values of costheta and sintheta .
• Given: sectheta - tantheta = x ................ (1) To prove: sectheta + tantheta = 1/x By trigonometric identity sec^2theta - tan^2theta = 1 (sectheta ...