Cos A minus Sin A + 1/ Cos A + Sin A minus 1 is equal to Cosec A + cotA using the identity cosec square A + cot square A
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SakshaM725:
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do you have a calculator no so let me solve this problem it is so simple just you need to do some practice don't have a calculator no problem
LHS=cosA−sinA+1cosA+sinA−1
=sinA(cosA−sinA+1)sinA(cosA+sinA−1)
=sinAcosA−sin2A+sinAsinA(cosA+sinA−1)
=sinAcosA+sinA−(1−cos2A)sinA(cosA+sinA−1)
=sinA(cosA+1)−(1−cosA)(1+cosA)sinA(cosA+sinA−1)
=(1+cosA)(sinA+cosA−1)sinA(cosA+sinA−1)
=(1+cosA)(sinA+cosA−1)sinA(cosA+sinA−1)
=1sinA+cosAsinA answer
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LHS=cosA−sinA+1cosA+sinA−1
=sinA(cosA−sinA+1)sinA(cosA+sinA−1)
=sinAcosA−sin2A+sinAsinA(cosA+sinA−1)
=sinAcosA+sinA−(1−cos2A)sinA(cosA+sinA−1)
=sinA(cosA+1)−(1−cosA)(1+cosA)sinA(cosA+sinA−1)
=(1+cosA)(sinA+cosA−1)sinA(cosA+sinA−1)
=(1+cosA)(sinA+cosA−1)sinA(cosA+sinA−1)
=1sinA+cosAsinA answer
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