30 Questions
If f(x) is an odd function, what is f(-x) equal to?
-f(x)
What is the value of sin(-θ) in terms of sin(θ)?
-sin(θ)
What is the value of cos(-θ) in terms of cos(θ)?
cos(θ)
If f(x) is an even function, what is f(-x) equal to?
f(x)
What is the value of tan(-θ) in terms of tan(θ)?
-tan(θ)
What is the measure of an angle in trigonometry?
The amount of rotation from the initial side to the terminal side
What determines the sense of an angle?
The direction of rotation of the initial side into the terminal side
What is formed when a revolving ray describes one quarter of a circle?
A right angle
What divides the plane of paper into four equal parts?
The x-axis and y-axis
What are the lines X'OX and YOY' known as?
The x-axis and y-axis
If sin(θ) = 3/5, what is the value of cot(θ)?
4/3
What is the value of sin(60° + θ) in terms of sin(θ)?
sin(θ) - sin(60°)cos(θ)
If θ is an acute angle, what is the value of tan(θ) if sec(θ) = 5/3?
12/13
What is the value of cos(θ) if sin(θ) = 2/5 and θ is an acute angle?
4/5
What is the value of cot(45° + θ) in terms of cot(θ)?
cot(θ) / (1 + cot(θ))
What is the value of sin(A + B) in terms of sin A, cos A, sin B, and cos B?
sin A cos B + cos A sin B
What is the value of cos(A - B) in terms of cos A, sin A, cos B, and sin B?
cos A cos B + sin A sin B
What is the value of tan(A + B) in terms of tan A and tan B?
tan A + tan B / 1 - tan A tan B
What is the value of cot(A + B) in terms of cot A and cot B?
cot A + cot B / 1 - cot A cot B
What is the value of sin(A + B) sin(A - B) in terms of sin A and sin B?
sin^2 A - sin^2 B
What is the value of cosec(90° - θ) in terms of cosec(θ)?
cosec(θ)
If f(θ) is an odd function, what is the value of f(90° - θ) in terms of f(θ)?
-f(θ)
What is the value of sin(θ) in terms of sin(90° - θ)?
cos(90° - θ)
If tan(θ) = 3/4, what is the value of tan(90° - θ)?
4/3
What is the value of sec(θ) in terms of sec(90° - θ)?
cos(θ)
What is the value of $\sin(90^\circ + \theta)$ in terms of $\cos \theta$?
$\cos \theta$
If $\tan \theta = 3/4$ and $\theta$ is an acute angle, what is the value of $\sin \theta$?
$3/5$
What is the value of $\cos(180^\circ - \theta)$ in terms of $\cos \theta$?
$-\cos \theta$
If $\sin \theta = 2/5$ and $\theta$ is an acute angle, what is the value of $\cot \theta$?
$\sqrt{21}/4$
What is the value of $\tan(270^\circ - \theta)$ in terms of $\tan \theta$?
$-\tan \theta$
Understand the concept of trigonometric ratios and identities, including sine, cosine, and tangent, with a focus on negative angles and their properties. Learn how to derive and apply these ratios in various problems.
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