Explain how to verify an identity. Describe two strategies that can be used to v

Question

Explain how to verify an identity. Describe two strategies that can be used to verify identities. Describe how you feel when you successfully verify a difficult identity. What other activities do you engage is that evoke the same feelings? A 10 point question on a quiz asks students to verify the identity. sin^2 x - cos^2 x/sin x + cos x = sin x - cos x. one student begins with the left side and obtains the right side as follows: sin^2 x - cos^2 x/sin x + cos x - sin^2 x/sin x - cos^2 x/cos x = sin x - cos x.

Explanation / Answer

61)[(secx+tanx)(secx-tanx)]/secx

=[(sec2-tanxsecx+tanxsecx-tan2x)]/secx

=(sec2x-tan2x)/secx

(sec2x-tan2x) =1 is identity

=(1)/secx

=cosx

63)(cosx +cotxsinx)/cotx

=(cosx/cotx +cotxsinx/cotx)

=(cosx/(cosx/sinx) +sinx)

=(sinx +sinx)

=2sinx

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