SOLUTION: I was hoping someone could help me with these:) VERIFY: a)secx(cosx+cos^3xcsc^2x)=csc^2x b)secx(sinx+sinxsecx)=1+secx c)tanx(cscx+cotxcscx)=secx+cscx

Question 269122: I was hoping someone could help me with these:)
VERIFY:
a)secx(cosx+cos^3xcsc^2x)=csc^2x
b)secx(sinx+sinxsecx)=1+secx
c)tanx(cscx+cotxcscx)=secx+cscx
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
VERIFY:
a)secx(cosx+cos^3xcsc^2x)=csc^2x
1 + cos^2(x)csc^2(x) = csc^2(x)
---
1 = csc^2(x)-cos^2(x)csc^2(x)
1 = csc^2(x)(1 - cos^2(x))
1 = csc^2(x)(sin^2(x))
1 = 1
-------------------------------------

b)secx(sinx+sinxsecx)=1+secx
(tan(x) + tan(x)sec(x) = 1 + sec(x)
tan(x)(1 + sec(x)) = 1 + sec(x)
Not an identity
---------------------------------------

c)tanx(cscx+cotxcscx)=secx+cscx
sec(x) + (1)(sec(x)) = sec(x) + csc(x)
2 sec(x) = sec(x) + csc(x)
Not an identiy
===========================================
Cheers,
Stan H.
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