Question Bank

Evaluate: tan 1° tan 2° tan 3° ... tan 89°.

If sin θ - cos θ = 0, find the value of sin⁴θ + cos⁴θ.

The maximum value of sin θ * cos θ is:

If x sin³θ + y cos³θ = sin θ cos θ and x sin θ = y cos θ, then x² + y² is:

Find the value of cos²θ(1 + tan²θ).

If cosec θ - cot θ = p, find the value of cos θ.

Simplify: √((1 - cos θ) / (1 + cos θ))

If 2 sin θ = 3 cos θ, find the value of sin θ.

Find the value of (sin θ / (1 - cot θ)) + (cos θ / (1 - tan θ)).

If m = tan θ + sin θ and n = tan θ - sin θ, find m² - n².

The value of (sec θ + tan θ - 1)(sec θ - tan θ + 1) is:

If sin θ = 1/3, find the value of (2 cot²θ + 2).

If cos θ = 2/3, evaluate 9 tan²θ - 1.

Simplify the expression: (1/cos²θ) - (1/cot²θ)

Find the value of (1-sin²θ)(1+tan²θ).

What is the distance between the points (3, 4) and (0, 0)?

The midpoint of the line segment joining (2, 8) and (6, 4) is:

What is the slope (gradient) of the line passing through (1, 2) and (3, 8)?

If the slope of a line is 0, the line is parallel to which axis?

Find the coordinates of the centroid of a triangle with vertices (1, 1), (2, 3), and (3, 5).