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Using the tangent ratio

The starter and exit quiz of the lesson “Using the tangent ratio”, from the unit “Trigonometry” (Year 9 Maths) by Oak National Academy.

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12 questions

  1. In a right triangle, if the hypotenuse is 25 cm and a second side is 20 cm, what is the perimeter? (Use a calculator to help you.)
  2. In a right triangle, if the hypotenuse is 125 cm and a second side is 100 cm, what is the area? (Use a calculator to help you.)
  3. What is the value of cos(37ᵒ) to 2 d.p. ?
  4. Which of these is a correct formula for using the Cosine function?
  5. Which of these is a correct formula for using the Sine function?
  6. Which of these is a correct formula for using the Tangent function?
  7. Using triangle ABC, if θ = 38ᵒ and BC = 14 cm, what is the length of the adjacent side AC to 1 d.p. ?
  8. What value of y will produce the same result for tan(y) and cos(90ᵒ)?
  9. Using triangle ABC, if θ = 18ᵒ and BC = 10 cm, what is the length of the adjacent side AC to 1 d.p. ?
  10. What value of y will produce the same result for tan(y) and cos(0ᵒ)?
  11. Using triangle ABC, if θ =26ᵒ and AC = 10 cm, what is the length of BC to 1 d.p. ?
  12. Using triangle ABC, if θ =35ᵒ and AC = 10 cm, what is the length of BC to 1 d.p. ?

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Using the tangent ratio · Examplary