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OpenStudy (anonymous):
OpenStudy (anonymous):
hint:
sin^2 x + cos^2 x = 1
OpenStudy (anonymous):
im still dont understand lol @rizwan_uet
OpenStudy (anonymous):
in question 3
the numerator is sin^2 x + cos^2 x
as sin^2 x + cos^2 x = 1
now put that value in the fraction you have
OpenStudy (anonymous):
put 1 instead of sin^2 x + cos^2 x
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OpenStudy (anonymous):
1/ cos x like that?
OpenStudy (anonymous):
now tell me what sec x = ???
OpenStudy (anonymous):
as
sec x = 1/ cos x
=> cos x = 1/sec x --> now guess your answer
OpenStudy (anonymous):
d?? @rizwan_uet
OpenStudy (solomonzelman):
\[\huge\color{blue}{ \frac{Sin^2x+Cos^2x}{Cosx} =Secx } \]
we know that \[\huge\color{red}{ Sin^2x+Cos^2x=1 }\]
So the nominator is equal to 1.
REWRITE the question.
\[\huge\color{blue}{ \frac{\color{red} { 1 } }{Cosx} =Secx } \]
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OpenStudy (solomonzelman):
Now, we also know that \[\huge\color{blue}{ \frac{1}{Cos~x} =Sec~x } \]
because Sec x and Cos x, (no matter what the x is) are multiplicative inverses of each other.