Math, asked by sdklvkb, 1 year ago

sinΦ.tanΦ/1-cosΦ=1+secΦ

Answers

Answered by michealjack
3
cscϕ/secϕ = (1+cotϕ)/(1+tanϕ) 


LHS = (1+cotϕ)/(1+tanϕ) 
where cotϕ=cosϕ/sinϕ and tanϕ = sinϕ/cosϕ 
= (1+(cosϕ/sinϕ))/(1+(sinϕ/cosϕ)) 
= ((cosϕ+sinϕ)/sinϕ)/((cosϕ+sinϕ)/cosϕ) 
= cosϕ/sinϕ 

wkt cosϕ=1/secϕ 
and sinϕ=1/cosecϕ 
= cscϕ/secϕ 

LHS = RHS 

hence prooved

sdklvkb: thanks
michealjack: what is your real name
sdklvkb: bt I need to prove 1+secΦ
michealjack: my answer is wrong
sdklvkb: yh
michealjack: okk
michealjack: koi baat
michealjack: next time try karunga
sdklvkb: hmm
michealjack: aap konsi class me ho
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