Questions: If h(x)=sin(3x), then h(pi/3)=

If h(x)=sin(3x), then h(pi/3)=
Transcript text: If $h(x)=\sin (3 x)$, then $h\left(\frac{\pi}{3}\right)=$
failed

Solution

failed
failed

Solution Steps

Step 1: Substitute the given value into the function

We are given the function \( h(x) = \sin(3x) \). To find \( h\left(\frac{\pi}{3}\right) \), substitute \( x = \frac{\pi}{3} \) into the function: \[ h\left(\frac{\pi}{3}\right) = \sin\left(3 \cdot \frac{\pi}{3}\right). \]

Step 2: Simplify the argument of the sine function

Simplify the argument of the sine function: \[ 3 \cdot \frac{\pi}{3} = \pi. \] Thus, the expression becomes: \[ h\left(\frac{\pi}{3}\right) = \sin(\pi). \]

Step 3: Evaluate the sine function

We know that \( \sin(\pi) = 0 \). Therefore: \[ h\left(\frac{\pi}{3}\right) = 0. \]

Final Answer

\[ \boxed{h\left(\frac{\pi}{3}\right) = 0} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 02-kilometer mark while riding at a velocity of 45 kilometers per hour. Complete parts (A) through (C) below. (A) Find the cyclist's average velocity during the first two hours of the race. kilometers per hour
failedAnswered
By the end of the story, Alison realizes that: A. her father was a musician. B. time machines are powerful. C. the desert is warm and dry. D. life passes us by quickly.
failedAnswered
Please identify the nervous tissue by clicking on the correct region of the image below.
failedAnswered
The function f(x, y)=-x^2 y-y^2-4 y has one critical point, classify it as a relative maximum, relative minimum or a saddle point. A. Relative Maximum B. Relative Minimum C. Saddle point
failedAnswered
Select the statement that is the contrapositive of the following statement: If a ray cuts an angle into two smaller, congruent angles, then it is an angle bisector. Answer If a ray isn't an angle bisector, then it doesn't cut an angle into two smaller, congruent angles. If a ray is an angle bisector, then it cuts an angle into two smaller, congruent angles. If a ray cuts an angle into two smaller, congruent angles, then it Submit Answer isn't an angle bisector. If a ray doesn't cut an angle into two smaller, congruent angles, then it isn't an angle bisector.