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I - sin AsinA1if=-, for all permissible valuesl +sin A cOS A cos Aof A, then A can belong to |
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Answer» Taking LHS√1+sinA/√1-sinA = cosA/1-sinARationalising,=√1+sinA/√1-sinA * √1+sinA/√1+sinA=(√1+sinA)^2/√1-sin^2A=(√1+sinA)^2/cos^2A {sin^2A +cos^2A}=(√1+sinA/cosA)^2=1+sinA/cosAHence, LHS=RHS1+sinA/cosA=1+sinA/cosA Taking LHS√1+sinA/√1-sinA = cosA/1-sinARationalising,=√1+sinA/√1-sinA * √1+sinA/√1+sinA=(√1+sinA)^2/√1-sin^2A=(√1+sinA)^2/cos^2A {sin^2A +cos^2A}=(√1+sinA/cosA)^2=1+sinA/cosAHence, LHS=RHS1+sinA/cosA=1+sinA/cosA |
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