if sinteta-costeta=1 find sinteta+costeta
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Step-by-step explanation:
I will be taking A instead of there
It is given that sinA -cosA=1
that is 1+cosA =sinA______(1)
sinA +cosA=?
We know that
sin^2A+cos^2A=1
that is. 1-cos^2A=sin^2A
(1+cosA)(1-cosA)=sin^2A
Substituting the value of 1+cosA from eqn 1 into this eqn we get
sinA (1-cosA)=sin^2A
that is 1-cosA=sin^2A/sinA
1-cosA=sinA
that is sinA+cosA=1
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