Exercises
Build confidence in core trigonometry concepts with this Trigonometry Essentials Quiz. Test your understanding of right-triangle ratios, including sine, cosine, and tangent; key special-angle values; reciprocal functions; and the Pythagorean identity sin²θ + cos²θ = 1. You will also review radians, the number of radians in a full circle, undefined trigonometric values, the period of the sine function, and cosine cofunction identities. Ideal for students reviewing foundational trigonometry skills before homework, exams, or more advanced math topics.
Answer the questions below and check the explanation for each answer.
0/10 answered
Auto audio on: the next questions will be read aloud when you click Continue.
The cosine function (cos) is defined as the ratio of the adjacent side to the hypotenuse of a right triangle.
The sine of a 90-degree angle is 1, because the opposite side is equal to the hypotenuse.
This is the Pythagorean Identity. It is fundamental to the relationships between the basic trigonometric functions.
Tan(45°) equals 1 because the opposite and adjacent sides of a 45-degree right triangle are equal.
The cosecant (csc) function is the reciprocal of the sine function (cscθ = 1/sinθ).
The circular measurement system uses radians to measure angles.
A full circle has 2π radians, which is equivalent to 360 degrees.
The tangent function (tan) is undefined at 90 degrees because it involves division by zero.
The sine function has a period of 2π, meaning it completes one full cycle every 2π radians.
The cofunction identity cos(θ) = sin(π/2 - θ) states that the cosine of an angle is equal to the sine of its complement.
Free CourseTrigonometry Grade 11
5
(1)
4h29m
39 exercises
Free CourseTrigonometry
4.6
(40)
6h35m
39 exercises
Free CourseTrigonometry
4.6
(17)
9h25m
32 exercises
Free CourseTrigonometry for beginners
4
(2)
45m
5 exercises
Free CourseTrigonometry full course
New
9h48m
6 exercises
Free CourseTrigonometry
New
16h32m
38 exercises
Free CourseTrigonometry Course
New
6h14m
52 exercises
Thousands of online courses in video, ebooks and audiobooks.
To test your knowledge during online courses
Generated directly from your cell phone's photo gallery and sent to your email
Download our app via QR Code or the links below:.
Carry knowledge in your pocket.
Download the Cursa app.
There are hundreds of free courses available, with a free certificate of completion that is saved in your mobile image gallery.
Download the app to access the Course Completion Certificate for Free.
+ 10 million
students
Free and Valid
Certificate
60 thousand free
exercises
4.8/5 rating in
app stores
Free courses in
video and ebooks