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
Algebra ->
Trigonometry-basics
-> 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
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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)
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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
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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
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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
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Cheers,
Stan H.
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