Prin1sheesiVeeB Prin1sheesiVeeB
  • 21-11-2016
  • Mathematics
contestada

Use trigonometric substitution to write the algebraic expression as a trigonometric function of θ, where 0 < θ <π/2.

√(100) - 4x^(2), x = 5cos(θ)

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Nirina7
Nirina7 Nirina7
  • 23-11-2016
√(100) - 4x^(2), x = 5cos(θ),

case 1
perhaps it is √(100)² - 4x^(2), x = 5cos(θ)
because if so, 
√(100)²=100
√(100)² - 4x^(2) = 100- 100cos²(θ) = 100( 1 - cos²(θ))= 100sin²(θ), and 
0 < θ <π/2.

case2
if it is true that 
√(100) - 4x^(2), the possible equality is √(100) - 100cos²(θ)

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