Trigonometry Flashcards
(26 cards)
What is the exact value of:
sin 30°
sin 30° = 1/2
What is the exact value of:
sin 60°
sin 60° = √3/2
What are the boundary ratios of:
sin 0°
cos 0°
tan 0°
sin 0° = 0
cos 0° = 1
tan 0° = 0
What are the boundary ratios of:
sin 90°
cos 90°
tan 90°
sin 90° = 1
cos 90° = 0
tan 90° = undefined
What are the boundary ratios of:
sin 180°
cos 180°
tan 180°
sin 180° = 0
cos 180° = -1
tan 180° = 0
What are the boundary ratios of:
sin 270°
cos 270°
tan 270°
sin 270° = -1
cos 270° = 0
tan 270° = undefined
What are the steps to finding one trig ratio, given another?
1) Decide on the quadrant(s) - from whether the value is + or -
2) Use pythag to find the missing length
3) Consider the sign of the new ratio (eg. tan in the second quadrant would be negative)
sin θ/ cos θ =
tan θ
cos θ/ sin θ =
cot θ
x² + y² =
r²
What is the complementary identity of:
sin θ
tan θ
sec θ
sin θ = cos (90 - θ)
tan θ = cot (90 - θ)
sec θ = cosec (90 - θ)
sin²θ + cos²θ =
1
What is the reciprocal identity of:
cosec θ
sec θ
cot θ
1 / sin θ
1 / cos θ
1 / tan θ
1 + tan²θ =
sec²θ
1 + cot²θ =
cosec²θ
1 - cos²θ =
sin²θ
1 - sin²θ =
cos²θ
What are two ways to represent cot θ?
cot θ =
1 / tan θ
cos θ / sin θ
tan θ =
sin θ / cos θ
What is the exact value of:
cos 30°
cos 30° = √3/2
What is the exact value of:
tan 30°
tan 30° = 1/√3
What is the exact value of:
cos 60°
cos 60° = 1/2
What is the exact value of:
tan 60°
tan 60° = √3
What is the exact value of:
sin 45°
sin 45° = 1/√2
