Math 12 Old Provincial Exam Bank

Question 1.

Evaluate: \(tan{5\pi\over3}\)

Question 2.

The terminal arm of angle \(\theta\) in standard position intersects the unit circle at the point (m, n). Which expression represents \(cot\theta\) ?

Question 3.

If the graph of the function shown below has the equation y = acosb(x - c) + d , determine the value of d.

Question 4.

Determine an equation of an asymptote of y = sec 3x .

Question 5.

Which expression is equivalent to \(sin(\pi + 2x)\) ?

Question 6.

Convert \(8 \pi \over 3\) radians to degrees.

Question 7.

Determine the minimum value of the function  y = -3sin2x + 4.

Question 8.

The terminal arm of angle \(\theta\), in standard position, passes through the point (-2, 9). Determine the value of  sin \(\theta\).

Question 9.

Simplify:  \(4cos^26x - 2\)

Question 10.

Evaluate: \(log_\sqrt7 7^3\)

Question 11.

Solve: \(log_2(log_9x)=-1\)

Question 12.

Solve: \(5^{x+1} = 2(3^{2x})\)

Question 13.

Determine the number of pathways from point A to point B if only moves to the right and down are permitted.

Question 14.

The smallest positive solution of  tanbx = 2 is  x = 0.3. Determine the general solution of  tanbx = 2.

Question 15.

The y-intercept of the function y = f(x) is 5. Determine the y-intercept of y = f(x) + 3 .