Teacher, create graded and non-graded assignments in minutes!

At Teachy you have access to thousands of questions, graded and non-graded assignments, projects, and lesson plans.

Free Registration

Discipline: Math

Question topic: Equations and Inequalities: Trigonometric

Source: Originais Teachy

Level of difficulty: Medium

(Originais Teachy 2023) - Question Medium of Math

In a physics experiment, a student analyzes the trajectory of a particle and determines that its position with respect to time is given by the function f(t) = 2cos(t) - 3sin(t), where t is the time in seconds and f(t) is the position of the particle in meters. The student wants to know in which time intervals the particle is moving to the left. To do this, he needs to solve the following trigonometric inequality: 2cos(t) - 3sin(t) < 0. Solve this inequality for him.
a.
t ∈ (π/4, 3π/4)
b.
t ∈ (0, π/2)
c.
t ∈ (π/2, π)
d.
t ∈ (π, 3π/2)
e.
t ∈ (3π/2, 2π)

Answer:

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Curabitur id consequat justo. Cras pellentesque urna ante, eget gravida quam pretium ut. Praesent aliquam nibh faucibus ligula placerat, eget pulvinar velit gravida. Nam sollicitudin pretium elit a feugiat. Vestibulum pharetra, sem quis tempor volutpat, magna diam tincidunt enim, in ullamcorper tellus nibh vitae turpis. In egestas convallis ultrices.

Answer key available only for registered teachers.
Register at Teachy and get access now!

Teachy originals
Those who search for this subject, also viewed these questions...
Question 1:

Medium

During a storm, a lighthouse projects its rotating beam of light towards the sea. Consider that the height of the lighthouse is 50 meters and the distance between the lighthouse and a boat is 150 meters. The height at which the beam of light reaches the water is represented by the trigonometric equation h(x) = 50 - 50cos(x), where x is the angle of elevation of the beam of light relative to the horizontal. (a) Determine the angle x for when the beam of light reaches the water at a distance of 100 meters from the lighthouse. (b) Calculate the amplitude of oscillation of the beam of light in the vertical direction. (c) Find the height h(π/3) at which the beam of light reaches the water.
Teachy originals
Question 2:

Medium

Source: EEAR
Question 3:

Hard

Observe the sequence of figures below, built with black and white balls, all of the same size. "Figure 1 is composed of 1 white ball surrounded by 8 black balls. Figure 2, 4 white balls surrounded by 12 black balls and so on." The number of black balls in the figure composed of 676 white balls is
Question illustration
Source: CMRJ
Question 4:

Easy

What is the numerical value of x² - 4x + 3 for x = 2?
Teachy originals
Did you like these questions? We have more than 100,000 like these for you, teacher!
Save time with Teachy!
With Teachy, you have access to:
Classes and contents
Automatic grading
Assignments, questions and materials
Personalized feedback
Teachy Mascot
BR flagUS flag
Terms of usePrivacy PolicyCookies Policy

2023 - All rights reserved

Follow us
on social media
Instagram LogoLinkedIn LogoTwitter Logo