If tan x = ½ for x = [π, 3π/2], then prove that sin x 1 √5

Q: 2. Use the Intermediate Value Theorem to show that the equation has at least 2 positive real roots.…

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Q: -1 3. Show that sin-¹x = tan X √1-x² if |x| < 1.

A: Introduction: When there are trigonometric functions present in an expression or equation,…

Q: Solve the equation tan 3x = √3/3  on the interval [0, 2π).

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Q: 1 Show that (tan-' x) : 1+x?

A: We use Trigonometry identities and inverse Trigonometry to solve this proof

Q: If sin x and T <x < , find tan x exactly. !! 1/4

A: We can use trigonometric identities to find the exact value of trigonometric function. We can use…

Q: Find the exact values of x in the interval [0, 3pie] that satisfy the equation sinx= -1/2

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Q: Q4: Prove that: cos?x – sin?x cos²x - 1- tan?x

A: We need to prove that cos2x-sin2xcos2x=1-tan2x We will use tanx =sin xcos x

Q: show that there is a root of sin(x2)=e2-2.

A: To show that there is a root of sin(x2)=e2-2.

Q: x sin 2x sin COSX 8. Prove that: %3D 2x-7

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Q: List all angles (in radian measure) between 0<x<47 2 sin(x) + 1= 0 such that

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Q: Prove that there is a real number r so that sin(r) = x – 1.

A: We have, sinx=x-1 Let us consider a function fx such that, fx=x-1-sinx

Q: Prove the following equations are identities for all permissible values of x, by manipulating only…

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Q: If 0 &lt; x ≤1, write cos(sin-1 x) as an algebraic expression in x.

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