Examine whether 6sin²x + cosx = 5
is an identity
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LHS
1+cosx−sinx
1+cosx+sinx
Dividing and multiplying by cosx
secx+1−tanx
secx+1+tanx
secx+1−tanx
secx+tanx+sec
2
x−tan
2
x
secx+1−tanx
secx+tanx+(secx−tanx)(secx+tanx)
secx+1−tanx
secx+tanx(secx−tanx+1)
secx+tanx
cosx
1
+
cosx
sinx
=
cosx
1+sinx
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