Year 10 Trignometry And Bearings

Question 1

sin(θ) for a right angle triangle

Answer 1

sin(θ) = opposite / hypotenuse

(Sᵒ⁄ₕ Cᵃ⁄ₕ T ᵒ⁄a)

Question 2

cos(θ) for a right angle triangle

Answer 2

cos(θ) = adjacent / hypotenuse

(Sᵒ⁄ₕ Cᵃ⁄ₕ T ᵒ⁄a)

Question 3

tan(θ) for a right angle triangle

Answer 3

tan(θ) = opposite / adjacent

(Sᵒ⁄ₕ Cᵃ⁄ₕ T ᵒ⁄a)

Question 4

Hypotenuse, opposite, adjacent side right angle triangle following θ

|\
|θ\
| \
| \
|__ \
| I \
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Answer 4

. |\
|θ\
Adjacent| \ hypotenuse
| \
|__ \
| I \
‾‾‾‾‾‾‾‾‾‾
Opposite

Question 5

Hypotenuse, opposite, adjacent side right angle triangle following θ

|\
| \
| \
| \
|__ \
| I θ\
‾‾‾‾‾‾‾‾‾‾

Answer 5

. |\
| \
Opposite| \ hypotenuse
| \
|__ \
| I θ\
‾‾‾‾‾‾‾‾‾‾
Adjacent

Question 6

Hypotenuse

Answer 6

longest side of a right-angled triangle
the side opposite the right angle

Question 7

Basic sine values

Answer 7

sin(0) = 0
sin(30) = 1 / 2
sin(45) = 1 /√2
sin(60) = √3 / 2
sin(90) = 1

Question 8

Basic cosine values HINT: OPPOSITE ORDER OF SINE VALUES

Answer 8

cos(0) = 1
cos(30) = √3 / 2
cos(45) = 1 / √2
cos(60) = 1 / 2
cos(90) = 0

Question 9

Basic tangent values

Answer 9

tan(0) = 0
tan(30) = 1 / √3
tan(45) = 1
tan(60) = √3
tan(90) = N/A because math error (1/0 is not possible)

Question 10

Value of x to 3sf

Hypotenuse, opposite, adjacent side right angle triangle following θ
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| \
| \
| \
| \ 4cm
| \
|__ \
| I40° \
‾‾‾‾‾‾‾‾‾‾‾‾‾‾

Answer 10

|\
| \
| \
| \
| \
| \
|__ \
| I 40°\
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