Questions: Determine the reference angle, in radians, associated with the given angle. Write the exact answer. Do not round. θ = 15π/16

Determine the reference angle, in radians, associated with the given angle. Write the exact answer. Do not round. θ = 15π/16
Transcript text: Determine the reference angle, in radians, associated with the given angle. Write the exact answer. Do not round. \[ \theta=\frac{15 \pi}{16} \]
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Given Angle

The given angle is \(\theta = \frac{15\pi}{16}\).

Step 2: Determine the Reference Angle

To find the reference angle for an angle \(\theta\) that is more than \(\pi\) but less than \(2\pi\), use the formula: \[ \text{Reference Angle} = 2\pi - \theta \]

Step 3: Calculate the Reference Angle

Substitute \(\theta = \frac{15\pi}{16}\) into the formula: \[ \text{Reference Angle} = 2\pi - \frac{15\pi}{16} = \frac{32\pi}{16} - \frac{15\pi}{16} = \frac{17\pi}{16} \]

Final Answer

The reference angle is \(\boxed{\frac{17\pi}{16}}\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Use Pythagorean theorem to find right triangle side lengths Find the value of x in the triangle shown below. Choose 1 answer: (A) x=6 (B) x=8 (C) x=sqrt(15) (D) x=sqrt(34)
failedAnswered
4.4 Classwork Part 2 Schoology https://desotoims.schoology.com/externaltool/3068373496/launch Classwork Part 2 (LMS graded) Graph a function where interval (1) is constant, interval (2) is increasing, interval (3) is decreasing, and interval (4) is increasing. correct graph below. O B. O C. an example Video Get more help Clear Question 8 of 8
failedAnswered
Exponential Growth Given that a quantity Q(t) is described by the exponential growth function Q(t)=500 e^(0.02 t) where t is measured in minutes, answer the following questions. (a) What is the growth constant k ? k= (b) What quantity is present initially? units (c) Complete the following table of values. (Round your answer to the nearest integer.) t Q ------ 0 10 20 100 1000
failedAnswered
800 dollars of supplies were purchased at the beginning of the month and the Supplies account was increased. As of the end of the period, 200 dollars of supplies still remain. Which of the following is the correct adjusting entry? Supplies expense would be debited for 600 dollars. Supplies would be credited for 200 dollars. Supplies would be debited for 200 dollars. Supplies expense would be debited for 200 dollars.
failedAnswered
Factor completely. 40 x^3+44 x^2-24 x