Formulae Flashcards
(27 cards)
What is the LaTeX command to write the sine function?
\sin
Convert sin(π/2 - θ) into LaTeX format.
\sin\left(\frac{\pi}{2} - \theta\right)
True or False: The sine of an angle can be expressed as sin(90° - θ).
True
What is the co-function identity for sin(π/2 - θ)?
\cos(\theta)
Fill in the blank: The LaTeX representation of π is ___.
\pi
What is the purpose of using \left and \right in LaTeX?
To automatically adjust the size of delimiters.
Convert the expression sin(π/2 - θ) into a LaTeX equation.
$$\sin\left(\frac{\pi}{2} - \theta\right)$$
What is the LaTeX command for the fraction symbol?
\frac
True or False: sin(π/2 - θ) equals sin(θ).
False
What does the variable θ typically represent in trigonometry?
An angle
What is the LaTeX command to write a degree symbol?
\degree
In LaTeX, how do you indicate a mathematical environment?
Using $…$ for inline and $$…$$ for display mode.
What is the derivative of sin(π/2 - θ) with respect to θ?
-\cos(\theta)
Fill in the blank: The LaTeX command for cosine is ___.
\cos
What is the result of sin(π/2 - θ) in terms of cosine?
\cos(\theta)
Convert the expression sin(90° - θ) into LaTeX format.
\sin\left(90^\circ - \theta\right)
True or False: sin(π/2 - θ) is equal to sin(θ) + cos(θ).
False
What is the LaTeX syntax for representing a subtraction operation?
-
What does the notation \theta represent in the equation sin(π/2 - θ)?
An angle in radians.
What is the LaTeX command for writing a limit?
\lim
Fill in the blank: The identity sin(π/2 - θ) = ___ relates sine and cosine.
\cos(\theta)
What is the LaTeX command to write parentheses?
\left( and \right)
True or False: The sine and cosine functions are co-functions.
True
