Using the sine ratio

12 questions

1. In a right triangle, if the hypotenuse is 15 cm and a second side is 9 cm, what is the perimeter? (Use a calculator to help you.)
2. What is the value of θ for cos(θ) = 0
3. In a right triangle, if the hypotenuse is 25 cm and a second side is 15 cm, what is the area? (Use a calculator to help you.)
4. Which of these is a rearrangement of tan(θ)=\frac{opp}{adj}
5. In a right triangle, if you are provided with θ and the hypotenuse, which function would you use to find the opposite side?
6. In a right triangle, if θ = 35ᵒ and the opposite side is 7 cm, what is the length of the hypotenuse to the nearest whole number?
7. Using triangle ABC, if θ = 35ᵒ and BC = 5 cm, what is the length of the hypotenuse AB to 1 d.p. ?
8. What value of x will produce the same result for cos(x) and sin(30ᵒ)?
9. Using triangle ABC, if θ = 40ᵒ and BC = 4.8 cm, what is the length of the hypotenuse AB to 1 d.p. ?
10. What value of y will produce the same result for sin(y) and cos(26ᵒ)?
11. Using triangle ABC, if θ = 50ᵒ and AB = 12 cm, what is the length of side BC to 1 d.p. ?
12. Using triangle ABC, if θ = 45ᵒ and AB = 18 cm, what is the length of side BC to 1 d.p. ?

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