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Topic: Math Verify: (cos^2x)(tan^2x) + (cos^2x)= 1 Thank you in advance....
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In trigonometry there is a major trigonometric identity as;
`sin^2x+cos^2x = 1`
We also know that;
`tanx = (sinx)/cosx`
Now we will start the question from Left Hand Side(LHS)
So it is proven that `(cos^2x)tan^2x+cos^2x = 1`
Posted by jeew-m on June 11, 2013 at 6:09 PM (Answer #1)
High School Teacher
Show `cos^2x(tan^2x)+cos^2x=1` :
`=cos^2x(tan^2x+1)` Factor out common term
`=cos^2x(sec^2x)` Pythasgorean relationship
`=cos^2x*1/(cos^2x)` Definition of sec(x)
`=1` as required.
Posted by embizze on June 11, 2013 at 6:21 PM (Answer #2)
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