Podcast
Questions and Answers
What is the acronym used to remember the basic trigonometric ratios (sine, cosine, tangent)?
What is the acronym used to remember the basic trigonometric ratios (sine, cosine, tangent)?
State the Pythagorean identity that relates $\sin^2(\theta)$ and $\cos^2(\theta)$.
State the Pythagorean identity that relates $\sin^2(\theta)$ and $\cos^2(\theta)$.
What is the value of $\cos(60°)$?
What is the value of $\cos(60°)$?
Express $\tan(\theta)$ in terms of $\sin(\theta)$ and $\cos(\theta)$.
Express $\tan(\theta)$ in terms of $\sin(\theta)$ and $\cos(\theta)$.
Write the formula for $\sin(A + B)$ using the angle sum identities.
Write the formula for $\sin(A + B)$ using the angle sum identities.
What is the reciprocal of the sine function, and how is it abbreviated?
What is the reciprocal of the sine function, and how is it abbreviated?
Given $\sin(\theta) = \frac{3}{5}$ and $\theta$ is in the first quadrant, find the value of $\cos(\theta)$.
Given $\sin(\theta) = \frac{3}{5}$ and $\theta$ is in the first quadrant, find the value of $\cos(\theta)$.
State the Law of Sines.
State the Law of Sines.
Simplify the expression: $\frac{\sin 2x}{\sin x}$.
Simplify the expression: $\frac{\sin 2x}{\sin x}$.
Express $\cos(2\theta)$ in terms of $\cos^2(\theta)$ only.
Express $\cos(2\theta)$ in terms of $\cos^2(\theta)$ only.
What are the possible values of $\arcsin(1)$?
What are the possible values of $\arcsin(1)$?
If $\tan(\theta) = -1$ and $\sin(\theta) > 0$, in which quadrant does $\theta$ lie?
If $\tan(\theta) = -1$ and $\sin(\theta) > 0$, in which quadrant does $\theta$ lie?
Solve for $x$: $\arctan(x) + \arctan(1) = \frac{\pi}{2}$.
Solve for $x$: $\arctan(x) + \arctan(1) = \frac{\pi}{2}$.
Given a triangle with sides $a = 5$, $b = 7$, and angle $C = 60°$, find the length of side $c$ using the Law of Cosines.
Given a triangle with sides $a = 5$, $b = 7$, and angle $C = 60°$, find the length of side $c$ using the Law of Cosines.
Given that (\sin(x) + \cos(x) = \sqrt{2}), determine the value of (\sin(2x)).
Given that (\sin(x) + \cos(x) = \sqrt{2}), determine the value of (\sin(2x)).
Flashcards
What is Trigonometry?
What is Trigonometry?
Study of relationships between triangle sides and angles.
SOH
SOH
Sine = Opposite / Hypotenuse
CAH
CAH
Cosine = Adjacent / Hypotenuse
TOA
TOA
Signup and view all the flashcards
Cosecant (csc θ)
Cosecant (csc θ)
Signup and view all the flashcards
Secant (sec θ)
Secant (sec θ)
Signup and view all the flashcards
Cotangent (cot θ)
Cotangent (cot θ)
Signup and view all the flashcards
Pythagorean Identity
Pythagorean Identity
Signup and view all the flashcards
Quotient Identity for tan θ
Quotient Identity for tan θ
Signup and view all the flashcards
Quotient Identity for cot θ
Quotient Identity for cot θ
Signup and view all the flashcards
Sine is odd
Sine is odd
Signup and view all the flashcards
Cosine is even
Cosine is even
Signup and view all the flashcards
Law of Sines
Law of Sines
Signup and view all the flashcards
Law of Cosines
Law of Cosines
Signup and view all the flashcards
Inverse Trigonometric Functions
Inverse Trigonometric Functions
Signup and view all the flashcards
Study Notes
The provided text is identical to the existing notes. Therefore, no updates are needed.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of trigonometry. Topics include: trigonometric ratios, Pythagorean identities, angle sum identities, and the Law of Sines and Cosines. This quiz contains questions about quadrants, trigonometric simplification, and problem-solving.
