verifying-trigonometric-identities-how-to-do-it-the-easy-way

This video shows you a simplified way in verifying trigonometric identities whenever you have to prove or verify a trig identity.

Here are some basic rules:

1. Convert Sine to Cosine

2. A + B = C Get Common Denominators & Combine Into a Single Fraction

3. C = A + B Split The Fraction Into Two Smaller Fraction

4. Convert Division To Multiplication

5. Multiply By The Conjugate of The Denominator

6. Factor - Factor out the GCF, Factor by using difference of perfect squares, factor the trinomial & cancel.

Here are the examples that are covered in this video:

1. sinx secx = tanx

2. tan^2x cot^2x = 1

3. sinx tanx + cosx = secx

4. secx - cosx = tanx sinx

5. (1-sinx)/cosx = secx - tanx

6. tan^2x / secx = secx - cotx

7. sec^2x / tanx = secx cscx

8. sinx / (1+cosx) = (1-cosx) / sinx

9. (1-sinx) / cosx + cosx / (1-sinx) = 2 secx

10. sec^2 x tan^2 x + sec^2 x = sec^4 x

11. sin^4 x - cos^4 x = sin^2 x - cos^2 x

12. csc^4 x - 2 csc^2 x + 1 = cot^4 x

13. (csc^2 x - 2cscx - 3) / (cscx - 3) = cscx + 1

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