Question

Make the indicated trigonometric substitution in the given algebraic expression and simplify.\ Assume that $0 \le x \le \pi / 2$.\ $\sqrt{x^2 - 4}$, $x = 2 \sec \theta$

Name: Make the indicated trigonometric substitution in the given algebraic expression and simplify.Assume that 0 ≤ x ≤π / 2.√(x^2 - 4), x = 2 secθ
Uploaded: 2022-10-26T23:29:20-08:00
Duration: 1 min 2 s
Channel: Jennifer Nolau
Description: Make the indicated trigonometric substitution in the given algebraic expression and simplify.Assume that 0 ≤ x ≤π / 2.√(x^2 - 4), x = 2 secθ

          Make the indicated trigonometric substitution in the given algebraic expression and simplify.\
Assume that $0 \le x \le \pi / 2$.\
$\sqrt{x^2 - 4}$, $x = 2 \sec \theta$

Added by Paul R.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Jennifer Nolau

10/26/2022

Step 1

Step 1: Substitute x = 2secθ into the expression √(x^2 - 4): √((2secθ)^2 - 4) = √(4sec^2θ - 4) = √(4(sec^2θ - 1)) = √(4tan^2θ) Show more…

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Make the indicated trigonometric substitution in the given algebraic expression and simplify. Assume that 0<=x<=(pi )/(2). sqrt(x^(2)-4),x=2sec heta Make the indicated trigonometric substitution in the given algebraic expression and simplify Assume that 0x/2. x2-4x=2sec0