A five-feet flagpole casts a shadow which is 12 feet long. Find the value of $\frac{1 - s i n x + c o s x}{1 + s i n x + c o s x}$ .

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Solution

Ans. In △ ABC, right angled at B,
$A C^{2} = A B^{2} + B C^{2}$
$A C^{2} = 5^{2} + 12^{2}$
$A C^{2} = 25 + 144 A C = 13 f t s i n x = \frac{12}{13}$
cosx = $\frac{5}{13}$

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A five-feet flagpole casts a shadow which is 12 feet long. Find the value of 1−sinx+cosx1+sinx+cosx.

Ans. In △ ABC, right angled at B, AC2=AB2+BC2 AC2=52+122 AC2=25+144AC=13ftsinx=1213 cosx = 513

A five-feet flagpole casts a shadow which is 12 feet long. Find the value of $\frac{1 - s i n x + c o s x}{1 + s i n x + c o s x}$ .

Ans. In △ ABC, right angled at B,
$A C^{2} = A B^{2} + B C^{2}$
$A C^{2} = 5^{2} + 12^{2}$
$A C^{2} = 25 + 144 A C = 13 f t s i n x = \frac{12}{13}$
cosx = $\frac{5}{13}$