Question Bank

If sin θ = 12/13, find the value of (sec θ + tan θ).

Identify the value of cot 30° / tan 60°.

If sec θ + tan θ = x, then sec θ - tan θ is:

Simplify: (sin θ / (1 + cos θ)) + ((1 + cos θ) / sin θ)

If tan θ + cot θ = 2, find the value of tan²θ + cot²θ.

Find the value of (1 + cot θ - cosec θ)(1 + tan θ + sec θ).

If sin θ = p/q, then what is the value of sqrt(q² - p²) / p?

Find the value of (sec A + tan A)(1 - sin A).

If 7 sin²θ + 3 cos²θ = 4, then tan θ is:

The expression (tan θ + sec θ - 1) / (tan θ - sec θ + 1) is equal to:

If cos θ + sin θ = √2 cos θ, then cos θ - sin θ is:

If a cos θ - b sin θ = c, then a sin θ + b cos θ is:

What is the value of 1 / (1 + sin²θ) + 1 / (1 + cosec²θ)?

If sin θ + cosec θ = 2, then find sinⁿ θ + cosecⁿ θ.

Find the value of (1 + tan θ + sec θ)(1 + cot θ - cosec θ).

Evaluate: sin⁶θ + cos⁶θ + 3 sin²θ cos²θ

If 5 sin θ = 3, find the value of (sec θ - tan θ) / (sec θ + tan θ).

If tan A + tan B = a and cot A + cot B = b, then cot(A+B) is:

If sec θ = x + 1/(4x), then find sec θ + tan θ.

If x = a cos θ and y = b sin θ, find (x²/a² + y²/b²).