Math, asked by shahbazsmd1134, 10 months ago

Find the value of theta if cos theta upon 1 minus sin theta+cos theta upon 1 + sin theta=4 theta<90 degree

Answers

Answered by ZetaZam
1

Answer: theta is 30 degrees

Step-by-step explanation:

taking theta as x

\frac{cosx}{1-sinx}+\frac{cosx}{1+sinx}=4\\  \frac{cosx(1+sinx)+cosx(1-sinx)}{1^{2}-sin^{2}x } = 4\\\frac{cosx[1+sinx+1-sinx)}{cos^{2}x}=4\\\\\frac{2cosx}{cos^{2} x} =4\\\frac{2}{cosx}=4\\\frac{1}{cosx}=2\\cosx=\frac{1}{2}

therefore x is 30

Answered by swathinikil2
1

Answer:

Step-by-step explanation:

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