Question

SOLVE THIS QUESTION ​

Answer 1

Answer:

Refer to the attachment above !

in this ques 1st we found the value of sec coz it is reciprocal of cos.

Then we found sin by drawing a triangle.

then we got the value of Cosec cz it is reciprocal of sin.

putting all the values in the equation we got this ans

Hope it helps uh Dear Walker! ❤✌

"My dear always remember to rationalize the denominator otherwise u will get half Marks only."

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{\frac{1 - sec \theta}{1 + cosec \: \theta} = \frac{ \sqrt{3} - 2}{3 \sqrt{3} }}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\bold {\underline{Given :}}}$

$\tt: \implies cos \: \theta = \frac{ \sqrt{3} }{2}$

$\red{ \bold{\underline{To \: Find :}}}$

$\tt : \implies \frac{1 - sec \: \theta}{1 + cosec \: \theta}$

• According to given question :

$\bold{As \: we \: know \: that}$

$\tt: \implies cos \: \theta = \frac{ \sqrt{3} }{2}$

$\tt: \implies cos \: \theta = cos \: 30 \degree$

$\tt: \implies \theta = 30 \degree$

$\bold{As \: we \: know \: that}$

$\tt: \implies \frac{1 - sec \: \theta}{1 + cosec \: \theta}$

$\tt: \implies \frac{1 - sec \: 30 \degree}{1 + cosec \: 30 \degree}$

$\tt: \implies \frac{1 - \frac{2}{ \sqrt{3} } }{1 +2 }$

$\green{\tt: \implies \frac{ \sqrt{3} - 2 }{3 \sqrt{3} } }$

$\green{\tt: \implies \frac{1 - sec \theta}{1 + cosec \: \theta} = \frac{ \sqrt{3} - 2}{3 \sqrt{3} } }$