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Essential Mathematics VELS Edition Year 10 Teacher CD-ROMChapter 9 Trigonometry: Skillsheet (textbook page 368)
1 Simplify the following: a b × c 215 × 2 Find the following correct to two decimal places using a calculator: a sin 37° b cos 29.3° c tan 74.33° d 2cos 20° e 3 Solve for x in these equations, correct to one decimal place: a x = 4 × cos 30° b = sin 39° c x tan 57° = 5.2 d = sin 83° e
= tan 41°
f
= cos 10°
4 State which of the sides a, b, and c is the hypotenuse (H), opposite (O) and adjacent (A) to the angle θ in these right-angled triangles. a
b
c
c
a
θ
θ
θ
a
c b
a
c b b
© Greenwood, Robertson 2006
1
Essential Mathematics VELS Edition Year 10 Teacher CD-ROMChapter 9 Trigonometry: Skillsheet (textbook page 368)
5 Write the following as true bearings (degrees clockwise from north): a South b East c North-west d South-east 6 Fill in the gaps for these trigonometric ratios: a sin θ = b …= c tan θ = 7 Using the three trigonometric ratios in Question 6 above, write ratios for the following right-angled triangles, e.g. sin θ = 3/4 a
b 3 θ
c 23
11 11 5
θ 4
© Greenwood, Robertson 2006
θ
2
Essential Mathematics VELS Edition Year 10 Teacher CD-ROMChapter 9 Trigonometry: Skillsheet (textbook page 368)
Chapter 9 Skillsheet answers 1 a
π
/3
b 135 c
43π
/36
2 a 0.60 b 0.87 c 3.56 d 1.88 e 3.92 3 a 3.5 b 1.3 c 3.4 d 3.0 e 1.6 f 3.2 4 a H(b), O(a), A(c) b H(a), O(b), A(c) c H(a), O(b), A(c) 5 a 180° b 90° c 315° d 135° 6 a Opposite b cos θ c Adjacent 7 a cos θ = 3/4 b tan θ = 23/11 c sin θ = 5/11
© Greenwood, Robertson 2006
3
Essential Mathematics VELS Edition Year 10 Teacher CD-ROMChapter 9 Trigonometry: Skillsheet (textbook page 368)
© Greenwood, Robertson 2006
4
1 Simplify the following: a b × c 215 × 2 Find the following correct to two decimal places using a calculator: a sin 37° b cos 29.3° c tan 74.33° d 2cos 20° e 3 Solve for x in these equations, correct to one decimal place: a x = 4 × cos 30° b = sin 39° c x tan 57° = 5.2 d = sin 83° e
= tan 41°
f
= cos 10°
4 State which of the sides a, b, and c is the hypotenuse (H), opposite (O) and adjacent (A) to the angle θ in these right-angled triangles. a
b
c
c
a
θ
θ
θ
a
c b
a
c b b
© Greenwood, Robertson 2006
1
Essential Mathematics VELS Edition Year 10 Teacher CD-ROMChapter 9 Trigonometry: Skillsheet (textbook page 368)
5 Write the following as true bearings (degrees clockwise from north): a South b East c North-west d South-east 6 Fill in the gaps for these trigonometric ratios: a sin θ = b …= c tan θ = 7 Using the three trigonometric ratios in Question 6 above, write ratios for the following right-angled triangles, e.g. sin θ = 3/4 a
b 3 θ
c 23
11 11 5
θ 4
© Greenwood, Robertson 2006
θ
2
Essential Mathematics VELS Edition Year 10 Teacher CD-ROMChapter 9 Trigonometry: Skillsheet (textbook page 368)
Chapter 9 Skillsheet answers 1 a
π
/3
b 135 c
43π
/36
2 a 0.60 b 0.87 c 3.56 d 1.88 e 3.92 3 a 3.5 b 1.3 c 3.4 d 3.0 e 1.6 f 3.2 4 a H(b), O(a), A(c) b H(a), O(b), A(c) c H(a), O(b), A(c) 5 a 180° b 90° c 315° d 135° 6 a Opposite b cos θ c Adjacent 7 a cos θ = 3/4 b tan θ = 23/11 c sin θ = 5/11
© Greenwood, Robertson 2006
3
Essential Mathematics VELS Edition Year 10 Teacher CD-ROMChapter 9 Trigonometry: Skillsheet (textbook page 368)
© Greenwood, Robertson 2006
4
