Question

In Fig. 12.20, ABCD is a quadrilateral with angleB = 65° and angle D = 105°. If angleA and angleC are in the ratio 3:7find the value of x and y.​

Answer 1

Answer:

$\left(\begin{array}{l}\because \tan x+\cot x \\ \\ =\dfrac{\sin x}{\cos x}+\dfrac{\cos x}{\sin x} \\ \\ -\dfrac{2\left(\sin ^{2} x+\cos ^{2} x\right)}{2 \sin x \cos x}=\dfrac{2}{\sin 2 x} \\ \\ =2 \operatorname{cosec} 2 x\end{array}\right)$