Trigonometry 2 - [Pure 2].

Question 1

What does the (Sin)e Graph look like?

Answer 1

• (0°, 0),
• (π/2, 1) or (90°, 1),
• (π, 0) or (180°, 0),
• (3π/2, -1) or (270°, -1),
• (2π, 0) or (360°, 0).

Wave then Bucket.

Question 2

What does the (Cos)ine Graph look like?

Answer 2

• (0°, 1),
• (π/2, 0) or (90°, 0),
• (π, -1) or (180°, -1),
• (3π/2, 0) or (270°, 0),
• (2π, 1) or (360°, 1).

Bucket then Wave.

Question 3

What does the (Tan)gent Graph look like?

Answer 3

• Intercepts to the x-axis at: (0°, 0), (π or 180°, 0), (2π or 360°, 0).
• Vertical Asymptotes at: π/2 or 90° and 3π/2 or 270°.

Question 4

What does (Sec)ant equal?

Answer 4

sec x = 1/cosx.

Third letter is start of cos.

Question 5

What does (Cosec)ant equal?

Answer 5

cosec x = 1/sinx.

Third letter is start of sin.

Question 6

What does (Cot)angent equal?

Answer 6

cot x = 1/tanx.

Third letter is start of tan.

Question 7

What is the Small Angle Approximation for sinθ?

Answer 7

sinθ ≈ θ.

Question 8

What is the Small Angle Approximation for cosθ?

Answer 8

cosθ = 1 - θ²/2.

Question 9

What is the Small Angle Approximation for tanθ?

Answer 9

tanθ ≈ θ.

Question 10

What can Small Angle Approximations be useful for?

Answer 10

Limits of Sequences.
(lim_θ→0).