limit x is equal to sin cos theta is equal to Limit x is equal to 10 and

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Prove that sin theta minus cos theta + 1 by sin theta + cos theta minus 1 equal to 1 by sec theta minus tan theta

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Hii aspirant , coming to your question it seems that your question is incomplete pls write the full question to get your doubt clear in clear language.

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limit x is equal to sin cos theta is equal to Limit x is equal to 10 and

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Prove that sin theta minus cos theta + 1 by sin theta + cos theta minus 1 equal to 1 by sec theta minus tan theta

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Question : If $x = \frac{2 \sin θ}{(1 + \cos θ + \sin θ)}$ , then the value of $\frac{1 - \cos θ + \sin θ}{(1 + \sin θ)}$ is:
Option 1: $\frac{x}{(1 + x)}$
Option 2: $x$
Option 3: $\frac{1}{x}$
Option 4: $\frac{(1 + x)}{x}$

Question : The value of $\frac{\sin θ - 2 \sin^{3} θ}{2 \cos^{3} θ - \cos θ}$ is equal to:
Option 1: $\sin θ$
Option 2: $\cos θ$
Option 3: $\tan θ$
Option 4: $\cot θ$