Math  /  Trigonometry

QuestionProve that 1+sinx1sinx(tanx+secx)2\frac{1+\sin x}{1-\sin x} \equiv(\tan x+\sec x)^{2}.

Studdy Solution
Now, we can see that the LHS and the RHS of the equation are equal, so the original equation is true.
(+sinx)2cos2x(sinx+)2cos2x\frac{( + \sin x)^2}{\cos^2 x} \equiv \frac{(\sin x +)^2}{\cos^2 x}Therefore, +sinxsinx(tanx+secx)2\frac{+\sin x}{-\sin x} \equiv(\tan x+\sec x)^{2} is a true statement.

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