In this page we practice remembering the common trigonometric values for special angles, including:$$0^\circ,\ 30^\circ,\ 45^\circ,\ 60^\circ,\ 90^\circ$$

We also practice finding values of $\sin$, $\cos$, and $\tan$ using the simple trick.

Example 1 – Find sin(45°)

Step 1: Use the pattern
sin(45°) = √(2/4)

Step 2: Simplify
= √2 / 2

Example 2 – Find cos(30°)

Step 1: Reverse sine values

cos(30°) = √3 / 2

Example 3 – Find tan(30°)

Step 1:
tan(θ) = sin(θ) / cos(θ)

Step 2:
tan(30°) = (1/2) ÷ (√3/2)

Step 3:
= (1/2) × (2/√3)

Step 4:
= 1/√3

Example 4 – Find tan(45°)

Step 1:
tan(45°) = (1/√2) ÷ (1/√2)

Step 2:
= 1

Example 5 – Find tan(90°)

Step 1:
tan(90°) = sin(90°) / cos(90°)

Step 2:
= 1 / 0

👉 This is undefined

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