Trigonometry
What is the value of sin 30°?
½
If f(x)=x2 +1, find f(3)
10
What is the difference between an expression and an equation?
An expression is a combination of operations whereas and equation shows equality between 2 expresions.
A right-angled triangle has an angle of 60° and hypotenuse 10 cm. Find the length of the side opposite the 60° angle.
5√3 cm
What is the name of the horizontal line that a function may approach but never touch as x→∞ or x→−∞?
In algebra, what is meant by the “coefficient” of a term? Give an example.
The coefficient is the numerical factor multiplying a variable.For example in 7x, the coefficient is 7.
A ladder leans against a wall making an angle of 75° with the ground. The ladder is 6 m long. Find, correct to 2 decimal places, the height it reaches on the wall.
5.80 m
In functions, what do we call the complete set of all possible input values for which the function is defined?
The domain.
Solve for x:
2x2−5x−3=0
x= −1/2 ,3
What is the exact value of cot(45°)?
1
What is the inverse function of f(x)=(x/2)+4
f-1(x)=2x-8
If x+1/x-2=3, solve for x.
x=7/2.
What is the maximum value of 7sin(θ)+24cos(θ)?
25
Let f(x) be a differentiable function where f(x)=d/dx(f(x)) and f(0)=1. What is f(x)?
f(x)=ex