Trigonometric Ratios: Sine, Cosine and Tangent (Year 9)
Free printable NZ Year 9 maths worksheet: write sin, cos and tan of a marked angle as a fraction in simplest form, from labelled right-angled triangle diagrams.
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Grade 8 · Math worksheet
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Math
Trigonometric Ratios: Sine, Cosine and Tangent
Write the named trigonometric ratio for the angle theta as a fraction in simplest form (SOH CAH TOA).
- 1.In the right-angled triangle shown, the side opposite the angle theta is 6 cm, the side adjacent to theta is 8 cm, and the hypotenuse is 10 cm. Write sin(theta) as a fraction in simplest form.
- 2.In the right-angled triangle shown, the side opposite the angle theta is 20 cm, the side adjacent to theta is 21 cm, and the hypotenuse is 29 cm. Write cos(theta) as a fraction in simplest form.
- 3.In the right-angled triangle shown, the side opposite the angle theta is 16 cm, the side adjacent to theta is 12 cm, and the hypotenuse is 20 cm. Write tan(theta) as a fraction in simplest form.
- 4.In the right-angled triangle shown, the side opposite the angle theta is 12 cm, the side adjacent to theta is 16 cm, and the hypotenuse is 20 cm. Write sin(theta) as a fraction in simplest form.
- 5.In the right-angled triangle shown, the side opposite the angle theta is 21 cm, the side adjacent to theta is 20 cm, and the hypotenuse is 29 cm. Write cos(theta) as a fraction in simplest form.
- 6.In the right-angled triangle shown, the side opposite the angle theta is 9 cm, the side adjacent to theta is 12 cm, and the hypotenuse is 15 cm. Write tan(theta) as a fraction in simplest form.
- 7.A right-angled triangle has a hypotenuse of 17 cm. For an angle theta in the triangle, the opposite side is 15 cm and the adjacent side is 8 cm. Find cos(theta) as a fraction in simplest form.
- 8.A right-angled triangle has a hypotenuse of 15 cm. For an angle theta in the triangle, the opposite side is 12 cm and the adjacent side is 9 cm. Find cos(theta) as a fraction in simplest form.
- 9.A right-angled triangle has a hypotenuse of 29 cm. For an angle theta in the triangle, the opposite side is 21 cm and the adjacent side is 20 cm. Find sin(theta) as a fraction in simplest form.
- 10.A right-angled triangle has a hypotenuse of 29 cm. For an angle theta in the triangle, the opposite side is 20 cm and the adjacent side is 21 cm. Find cos(theta) as a fraction in simplest form.
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