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Some Standard Trigonometric Substitutions

Expression
Substitution
a2 + x2
x = a tan θ or a cot θ
a2x2
x = a sin θ or a cos θ
x2a2
x = a sec θ or a cosec θ
92719.png
x = a cos 2 θ
92712.png
x = α cos2 θ + β sin2 θ




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