HPC Section 4.7 Inverse Trig Functions Day 3

Precalculus Section 4.7 Inverse Trig Functions Day 3

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Multiple Choice

 Evaluate:

$$\cos\left(\arccos\left(\frac{\sqrt[]{2}}{2}\right)\right)$$

• $$\frac{\sqrt[]{2}}{2}$$  

• $$-\frac{\sqrt[]{2}}{2}$$  

• $$\sqrt[]{2}$$  

• $$\frac{\pi}{4}$$  

• $$45\degree$$  

Multiple Choice

Evaluate:

$$\sin\left(\arcsin\left(\frac{9}{41}\right)\right)$$  

• $$\frac{9}{40}$$  

• $$\frac{40}{9}$$  

• $$\frac{41}{9}$$  

• $$\frac{9}{41}$$  

• $$\frac{41}{40}$$  

Multiple Choice

 Evaluate:

$$\csc\left(\arcsin\left(\frac{9}{41}\right)\right)$$

• $$\frac{9}{40}$$  

• $$\frac{40}{9}$$  

• $$\frac{41}{9}$$  

• $$\frac{9}{41}$$  

• $$\frac{41}{40}$$  

Multiple Choice

 Evaluate:

$$\tan\left(\arcsin\left(\frac{9}{41}\right)\right)$$

• $$\frac{9}{40}$$  

• $$\frac{40}{9}$$  

• $$\frac{41}{9}$$  

• $$\frac{40}{41}$$  

• $$\frac{41}{40}$$  

Multiple Choice

Write and algebraic expression in terms of x for the hypotenuse.

• $$x^2+1$$

• $$x+1$$

• $$\sqrt{x^2+1}$$

• None of these

Multiple Choice

Find the cot( arctan x)

• $$\frac{1}{x}$$

• $$x^2+1$$

• $$\sqrt{x^2+1}$$

• $$\frac{1}{\sqrt{x^2+1}}$$

• $$\frac{x}{\sqrt{x^2+1}}$$

Multiple Choice

Find the cos(arctan x)

• $$\frac{1}{x}$$

• $$x^2+1$$

• $$\sqrt{x^2+1}$$

• $$\frac{1}{\sqrt{x^2+1}}$$

• $$\frac{x}{\sqrt{x^2+1}}$$

Multiple Choice

Find $$\sin\left(\arctan\left(\frac{x}{3}\right)\right)$$  

• $$x^2+9$$

• $$\frac{x}{x+3}$$

• $$\frac{x}{\sqrt{x^2+9}}$$

• $$\frac{3}{\sqrt{x^2+9}}$$

HPC Section 4.7 Inverse Trig Functions

Homework Day 3

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#45 - 51 odd, 65, 67, 69, 73, 75, 77, 85, 87, 102, 104, 105​