Still overwhelmed by exam stress? You've come to the right place!

We know exam season has you totally swamped. To support your studies, access Gold Membership for FREE until December 31, 2025! Normally £29.99/month. Just Log In to activate – no strings attached.

Let us help you ace your exams efficiently!

Questions
Questions

MHF4U - Advanced Functions 12 (2025-26) - A

Single choice

Solve the equation:2cos(x) +1 = 0for all values of . Select the correct set of solutions.

Options
A.a. x = π/3, 5π/3
B.b. x = 2π/3, 4π/3
C.c. x = 5π/6, 7π/6
D.d. x = π/6, 11π/6
Question Image
View Explanation

View Explanation

Standard Answer
Please login to view
Approach Analysis
The equation to solve is 2 cos(x) + 1 = 0. First, isolate cos(x): 2 cos(x) = -1, so cos(x) = -1/2. We seek all x in the interval [0, 2π) such that the cosine equal......Login to view full explanation

Log in for full answers

We've collected over 50,000 authentic exam questions and detailed explanations from around the globe. Log in now and get instant access to the answers!

Similar Questions

The graph below shows the function:f(x) = 2cos2(x) - 3cos(x) + 1 What are the values of for which ?

Question textSolve the equation [math: −2sin⁡(x)−2=0]{-2\,\sin \left( x \right)-\sqrt{2}=0} for [math: x∈[0,2π]]\displaystyle x\in \Big[0, 2\pi \Big], giving your answer in radians. Note. Type pi to enter [math: π]\pi and write your answers [math: a] and [math: b] in the form [math: {a,b}]\{a,b\}. [input] Check Question 1

Question textSolve the equation [math: 2sin⁡(x)+1=0]{2\,\sin \left( x \right)+1=0} for [math: x∈[0,2π]]\displaystyle x\in \Big[0, 2\pi \Big], giving your answer in radians. Note. Type pi to enter [math: π]\pi and write your answers [math: a] and [math: b] in the form [math: {a,b}]\{a,b\}. [input] Check Question 1

Question textSolve the equation [math: 4sin⁡(x)+2=0]{4\,\sin \left( x \right)+2=0} for [math: x∈[0,2π]]\displaystyle x\in \Big[0, 2\pi \Big], giving your answer in radians. Note. Type pi to enter [math: π]\pi and write your answers [math: a] and [math: b] in the form [math: {a,b}]\{a,b\}. [input] Check Question 1

More Practical Tools for International Students

To make preparation and study season easier for more international students, we've decided to open up Gold Membership for a limited-time free trial until December 31, 2025!