MathsYears 12–13Trigonometry

Reciprocal and inverse trig functions

Understand sec, cosec, cot and their inverses; sketch graphs and use related identities

What you'll learn

  1. 1

    Think of a ladder leaning against a wall. The reciprocal trig functions are like the 'other side' of the usual ratios!

  2. 2

    What does 'reciprocal' mean in maths?

  3. 3

    Drag the triangle to see how sin θ and cosec θ relate — when one is big, the other is small!

  4. 4

    Let's find cosec 30° together.

  5. 5

    If sin θ = 3/5, what is cosec θ?

  6. 6

    Now try sec 60° — use the triangle to help you see the sides.

  7. 7

    What is sec 60°?

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