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Kristian Burke

Kristian Burke. #38 verifying equations. Step 1. Equations- cscΘ-sinΘ = cosΘcotΘ I am going to work from the left side of the equation. ( cscΘ-sinΘ ). Step 2-. Back to basics- turn all figures into cosine and sine. cscΘ - >1/ sinΘ SinΘ -> sinΘ /1. Step 3.

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Kristian Burke

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  1. Kristian Burke #38 verifying equations

  2. Step 1 • Equations- cscΘ-sinΘ = cosΘcotΘ • I am going to work from the left side of the equation. (cscΘ-sinΘ)

  3. Step 2- • Back to basics- turn all figures into cosine and sine. • cscΘ- >1/sinΘ • SinΘ -> sinΘ/1

  4. Step 3 • Least common denominator- sinΘ • 1/sinΘ– sin2Θ/sinΘ

  5. Step 4 • Subtract- 1/sinΘ– sin2Θ/sinΘ 1-sin2Θ/sinΘ

  6. Step 5 • Trigonometric identities • 1-sin2Θ = cos2Θ Substitute- cos2Θ/sinΘ

  7. Step 6 • Simplify • cos2Θ/sinΘ = (cosΘ)(cosΘ)/sinΘ • CosΘ/SinΘ= tanΘ • You will be left with one cosΘ and a tanΘ Which gives you your answer of CosΘTanΘ

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