Simplifying Trigonometric Functions - Math

Card 1 of 4

0

Didn't Know

0

Didn't Know

Knew It

0

1 of 43 left

Question

Simplify the function below:

$f(x)=cos^2(\frac{1}{2}cos^{-1}x)$

Tap to reveal answer

Answer

We need to use the following formulas:

a) $cos^2x=\frac{1+cos2x}{2}$

and

b) $cos(cos^{-1}x)=x$

We can simplify as follows:

$f(x)=cos^2(\frac{1}{2}cos^{-1}x)=\frac{1+cos(cos^{-1}x)}{2}=\frac{1+x}{2}$

← Didn't Know|Knew It →

Question

Simplify the function below:

$f(x)=cos^2(\frac{1}{2}cos^{-1}x)$

Tap to reveal answer

Answer

We need to use the following formulas:

a) $cos^2x=\frac{1+cos2x}{2}$

and

b) $cos(cos^{-1}x)=x$

We can simplify as follows:

$f(x)=cos^2(\frac{1}{2}cos^{-1}x)=\frac{1+cos(cos^{-1}x)}{2}=\frac{1+x}{2}$

← Didn't Know|Knew It →

Question

Simplify the function below:

$f(x)=cos^2(\frac{1}{2}cos^{-1}x)$

Tap to reveal answer

Answer

We need to use the following formulas:

a) $cos^2x=\frac{1+cos2x}{2}$

and

b) $cos(cos^{-1}x)=x$

We can simplify as follows:

$f(x)=cos^2(\frac{1}{2}cos^{-1}x)=\frac{1+cos(cos^{-1}x)}{2}=\frac{1+x}{2}$

← Didn't Know|Knew It →

Question

Simplify the function below:

$f(x)=cos^2(\frac{1}{2}cos^{-1}x)$

Tap to reveal answer

Answer

We need to use the following formulas:

a) $cos^2x=\frac{1+cos2x}{2}$

and

b) $cos(cos^{-1}x)=x$

We can simplify as follows:

$f(x)=cos^2(\frac{1}{2}cos^{-1}x)=\frac{1+cos(cos^{-1}x)}{2}=\frac{1+x}{2}$

← Didn't Know|Knew It →

0

Knew It