Trigonometric integrals, equating coefficients.

[STEP II 2004 Question 5 (Pure)]

Inverse differentiation, inverse trigonometric and hyperbolic functions.

[STEP III 2003 Question 1 (Pure)]

Curve sketching, modulus function, composition of function, trigonometric function.

[STEP II 2003 Question 6 (Pure)]

Approximation by linear functions, residual error, trigonometric functions, small angle approximation.

[STEP II 2000 Question 5 (Pure)]

Inequality, maximum, quotient rule, differentiation, C1.

[STEP I 2000 Question 4 (Pure)]

Integer part, floor function, exponential and logarithm, curve sketching.

[STEP I 2000 Question 3 (Pure)]

Polynomial, binomial coefficient.

[STEP I 1996 Question 2 (Pure)]

Trigonometric substitution.

[STEP I 1995 Question 2 (Pure)]

Area of circles and ellipses, intersection.

[STEP II 1994 Question 4 (Pure)]

Trigonometry identity, arctan.

[STEP I 1994 Question 4 (Pure)]