Question
Download Solution PDF\(\rm \sqrt{\frac{1+sinA}{1-sinA}} =\) ________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\rm \sqrt{\frac{1+sinA}{1-sinA}} \)
Concept Used:
The concept of conjugation is used here
Calculation:
⇒ \(\rm \sqrt{\frac{1+sinA}{1-sinA}} \)
Now, Conjugate the above equations
⇒ \(\rm {\sqrt{\frac{1+sinA}{1-sinA} \times \rm {\frac{1+sinA}{1+sinA}}}}\)
⇒ \(\rm \sqrt{\frac{(1+sinA)^2}{1-sin^2A}}\)
⇒ \(\rm \sqrt{\frac{(1+sinA)^2}{cos^2A}}\)
⇒ \(\rm {\frac{(1+sinA)}{cosA}}\)
⇒ \(\frac{1}{ cos A} +\frac{sin A}{ cosA}\)
⇒ sec A + tan A
⇒ Hence, Value of the given part is sec A + tan A
Last updated on Jul 15, 2025
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