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Exam (elaborations)

Trig Identities + Exam 1 Tips Questions and and answers

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Trig Identities + Exam 1 Tips Questions and and answers

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Trig Identities + Exam 1 Tips
∫1/x^2+a^2 (end of partial fraction decomp) - ✅✅-1/a arctan(x/a)
∫cscxdx - ✅✅-ln | cscx - cotx | + c
∫secxdx - ✅✅-ln I secx+tanx I +c

∫tanxdx - ✅✅-ln| secx | + c

∫x/x^2+a^2 (end of partial fraction decomp) - ✅✅-1/2 ln | x^2+a^2 |
cos2θ - ✅✅-cos²θ-sin²θ,
2cos²θ-1,
1-2sin²θ,

cos²θ (power reduction) - ✅✅-1/2 + cos(2θ)/2
cos²θ (Pythagorean identity) - ✅✅-1-sin²θ

sec²θ (Pythagorean identity) - ✅✅-1+tan²θ

sin2θ - ✅✅-2sinθcosθ

sin²θ (power reduction) - ✅✅-1/2 - cos(2θ)/2

sin²θ (Pythagorean identity) - ✅✅-1-cos²θ

tan²θ (Pythagorean identity) - ✅✅-sec²θ-1
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