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Oak MathsTest · Maths

Tangent ratio

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

Free to use. Edit it, share it and hand it out to your students.

Oak National Academy

12 questions

  1. In a right triangle, if the hypotenuse is 32.5 cm and a second side is 12.5 cm, what is the perimeter? (Use a calculator to help you.)
  2. What is the value of θ for sin(θ) = tan(θ) ?
  3. What is the value of θ for tan(θ) = 1
  4. In a right triangle, if the hypotenuse is 32.5 cm and a second side is 12.5 cm, what is the area? (Use a calculator to help you.)
  5. What is the value of θ for sin(θ) = 1
  6. What is the value of θ for sin(θ) = cos(θ) ?
  7. Match the estimated values with the trigonometric functions below.
  8. For which value of θ is tan (θ) undefined?
  9. In a right triangle, if you are provided with θ and the opposite side, which function would you use to find the adjacent side?
  10. Which of these is a rearrangement of tan(θ)=\frac{opp}{adj}
  11. Which of these is not an rearrangement of tan(θ)=\frac{opp}{adj}
  12. For a right triangle ABC, if angle CBA = 33ᵒ, and the adjacent side to that angle is 1 cm, what is the length of the side opposite angle CBA?

License: OGL

Tangent ratio · Examplary