Quiz Answer Key and Fun Facts
1. If sinx = 2/7, then what is the exact value of cotx?
2. Which trigonometric ratio is equal to cosec(90-x)?
3. If tanx = 0.486, then what is x in degrees and minutes?
4. Triangle ABC has a hypotenuse equal to 18.2cm, one acute angle equal to 39 degrees, 49 minutes, and the adjacent side to the angle equal to x. What is the value of x, to the nearest whole number?
5. A triangle has an acute angle equal to x, with the opposite side equal to 3.5 and the hypotenuse equal to 8.2. What is the value of x, in degrees and minutes?
6. A boy is flying his kite in the park. If the string of the kite is 20m long, and the angle of elevation is measured to be 47 degrees, how high above the ground is the kite, to 2 decimal places?
7. The bearing of B from X is 130 degrees. What is the bearing of X from B?
8. What is the value of sin^2(60)+cos^2(45)?
9. If sinx = -3/5 and cosx is positive, then what is the value of tanx?
10. For what values of x does 2sin^2(x) = 1?
11. (1-cosx)/sin^2(x) is equal to which other trigonometric expression?
12. Triangle XYZ has angle XYZ equal to 103, angle YXZ equal to 53 and YZ equal to 8cm. What is the length of XZ, to the nearest whole number?
13. Triangle ABC has AB is equal to 5.6 cm, BC is equal to 6.4 cm and angle ABC is equal to 112 degrees, 32 minutes. What is the length of AC, to 2 decimal places?
14. Triangle ABC has AB equal to 4.3, BC equal to 5.8 and angle CBA equal to 106 degrees, 22 minutes. What is the total area of the triangle, to 2 decimal places?
15. The elevation of a hill at a point A due east of it is 39 degrees. At a point B, due south of A, the angle of elevation of the hill is 27 degrees. If the distance from A to B is 500m, what is the height of the hill, to 1 decimal place?
16. What is the exact value of cos75?
17. What is the exact value of 2tan15/(1-tan^2(15))?
18. If t = tan(x/2), then in terms of t, which is the correct expression for cosx?
19. For what values of x does tan(x+60)= -tanx?
20. What is the general solution, in degrees, of the equation tanx = 1?
Source: Author
dialga483
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rossian before going online.
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