Question

Solve the prove one question!

Don't spam plz! ​

Answer 1

Step-by-step explanation:

Given,

L H.S = (1 + cosx - sin²x)/(sinx(1+cosx))

= (cosx + cos²x)/{ sinx ( 1 + cox )} [ as sin²x + cos²x = 1]

= cosx(1 + cosx) / { sinx ( 1 + cosx)}

= cosx/sinx

= cotx = R.H.S

Hence, proved.

Answer 2

Question :-

Prove that :-

$\implies \bf \dfrac{1 + cos \theta - sin^2 \theta}{sin \theta(1 + cos \theta)} =\: cot \theta$

Solution :-

[Note: Please refer that attachment for your answer]

$\purple{\rule{45pt}{7pt}}\red{\rule{45pt}{7pt}}\pink{\rule{45pt}{7pt}}\blue{\rule{45pt}{7pt}}$