Establish each identity below. (1) 9 sec^2 (x) - 5 tan^2 (x) = 5 + 4 sec^2 (x) (2) cos(x)/[1 + sin(x)] + [1 + sin(x)]/cos(x) = 2 sec (x)
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#1: Note that . So substitute it in and simplify. #2: Combine into a single fraction: Expand the numerator and simplify. Post back if you have any troubles!
Originally Posted by o_O #1: Note that . So substitute it in and simplify. #2: Combine into a single fraction: Expand the numerator and simplify. Post back if you have any troubles! What in the question indicated that you needed to make cosx/cosx on the left side and 1 + sinx/1 + sinx on the right side?
Last edited by magentarita; Aug 23rd 2008 at 03:28 PM. Reason: Rewrite
What in the question indicated that you needed to make cosx/cosx on the left side and 1 + sinx/1 + sinx on the right side? basic addition of fractions ... you need the common denominator, , to add the two fractions.
Originally Posted by skeeter basic addition of fractions ... you need the common denominator, , to add the two fractions. It's searching for the LCD, right?
An analogy:
Great analogy! Thanks
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