Question

Please prove it !!!!!​

Answer 1

Step-by-step explanation:

Mark as brainlist please laucha the first time in the blanks the first time in the morning and happy birthday bhai ye hi sir I have not received my school in yet as well so no worries if I am wrong in writing

Answer 2

$\Large\dagger\:\:\boxed{\bold{\red{Solution}}}$

$\mathbf\blue{\dfrac{cotA-cosA}{cotA+cosA}= \dfrac{cosecA-1}{cosecA+1}}$

$\star\:\sf\underline\pink{L.H.S\::-}$

$\rm {\purple{W.K.T \ \ cosA= \dfrac{cotA}{cosecA}}}\\ \\ \\ {\green{\longmapsto \:\:\rm \dfrac{cotA-\dfrac{cotA}{cosec A}}{cotA+\dfrac{cotA}{cosecA}}}}\\ \\ \\ {\purple{\longmapsto\:\:\rm \dfrac{\dfrac{cotA\ cosecA -cotA}{cosecA}}{\dfrac{cosecA\ cotA + cotA}{cosecA}}}}\\ \\ \\ {\green{\longmapsto\:\:\rm \dfrac{cosecA cotA-cotA}{\cancel{cosecA}}\times \dfrac{\cancel{cosecA}}{cosecA\ cotA+cotA}}}\\ \\ \\ {\purple{\longmapsto\:\:\rm \dfrac{cosecAcotA-cotA}{cosecAcotA+cotA}}}\\ \\ \\ {\green{\longmapsto\:\:\rm \dfrac{\cancel{cotA}(cosecA-1)}{\cancel{cotA}(cosecA+1)}}}\\ \\ \\ {\purple{\longmapsto\:\:\rm \dfrac{cosecA-1}{cosecA+1}}}$

${\boxed{\mathbf{\orange{\dfrac{cosecA-1}{cosecA+1}= \dfrac{cosecA-1}{cosecA+1}}}}}\\ \\ \\ {\large \leadsto\:{\mathsf{\underline{\red{L.H.S= R.H.S}}}}}\\\\ {\large\star}\:{\Large{\boxed{\mathbf{\pink{Hence \ Proved \ !!}}}}}$