Trigonometric Ratios: SOH-CAH-TOA (Year 9)
Free printable UK Year 9 (Key Stage 3) maths worksheet: find sin, cos and tan of an angle in a right-angled triangle as exact fractions and decimals.
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Grade 8 · Math worksheet
Name
Date
Math
Trigonometric Ratios: SOH-CAH-TOA
Use the right triangle's side lengths to find sin(theta), cos(theta) and tan(theta), giving exact fractions and decimals (rounded to 3 dp where needed).
- 1.A right-angled triangle has legs 8 and 6 and hypotenuse 10. The angle theta is opposite the side of length 8. Find sin(theta), cos(theta) and tan(theta).
- 2.A right-angled triangle has legs 72 and 21 and hypotenuse 75. The angle theta is opposite the side of length 72. Find sin(theta), cos(theta) and tan(theta).
- 3.A right-angled triangle has legs 4 and 3 and hypotenuse 5. The angle theta is opposite the side of length 4. Find sin(theta), cos(theta) and tan(theta).
- 4.A right-angled triangle has legs 21 and 20 and hypotenuse 29. The angle theta is opposite the side of length 21. Find sin(theta), cos(theta) and tan(theta).
- 5.A right-angled triangle has legs 80 and 18 and hypotenuse 82. The angle theta is opposite the side of length 80. Find sin(theta), cos(theta) and tan(theta).
- 6.A right-angled triangle has legs 10 and 24 and hypotenuse 26. The angle theta is opposite the side of length 10. Find sin(theta), cos(theta) and tan(theta).
- 7.A right-angled triangle has legs 40 and 9 and hypotenuse 41. The angle theta is opposite the side of length 40. Find sin(theta), cos(theta) and tan(theta).
- 8.A right-angled triangle has legs 36 and 27 and hypotenuse 45. The angle theta is opposite the side of length 36. Find sin(theta), cos(theta) and tan(theta).
- 9.A right-angled triangle has legs 27 and 120 and hypotenuse 123. The angle theta is opposite the side of length 27. Find sin(theta), cos(theta) and tan(theta).
- 10.A right-angled triangle has legs 14 and 48 and hypotenuse 50. The angle theta is opposite the side of length 14. Find sin(theta), cos(theta) and tan(theta).
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