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Quiz time

1. A triangle has angles measuring 40°, 60°, and x°. What is the value of x?

The point (4, -2) lies in which quadrant?

a) Quadrant I
b) Quadrant II
c) Quadrant III
d) Quadrant IV

ዝግጁ ናችሁ Trigonometry ላይ Quiz ይኖረናል

1. In a right triangle, the sine of an angle is equal to the ratio of:

a) Opposite side to hypotenuse
b) Adjacent side to hypotenuse
c) Opposite side to adjacent side
d) Hypotenuse to opposite side

2. Which of the following is NOT a trigonometric function?

a) Sine (sin)
b) Cosine (cos)
c) Tangent (tan)
d) Logarithm (log)

3. The value of sin 30° is:

a) 1/2
b) √3/2
c) √2/2
d) 1

4. The value of cos 60° is:

a) 1/2
b) √3/2
c) √2/2
d) 1

5. The value of tan 45° is:

a) 1/√2
b) 1
c) √3
d) √3/2

6. Which of the following is the reciprocal of sine?

a) Cosecant (csc)
b) Secant (sec)
c) Cotangent (cot)
d) Cosine (cos)

7. The Pythagorean Identity states that:

a) sin² θ + cos² θ = 1
b) tan² θ + 1 = sec² θ
c) cot² θ + 1 = csc² θ
d) All of the above

8. If sin θ = 3/5, what is the value of cos θ?

a) 4/5
b) -4/5
c) 5/4
d) -5/4

9. Which of the following is a solution to the equation sin θ = 1?

a) 0°
b) 30°
c) 45°
d) 90°

10. The period of the function y = sin x is:

a) π
b) 2π
c) 4π
d) π/2

Answer Key:

1. a) Opposite side to hypotenuse
2. d) Logarithm (log)
3. a) 1/2
4. a) 1/2
5. b) 1
6. a) Cosecant (csc)
7. d) All of the above
8. a) 4/5
9. d) 90°
10. b) 2π

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ከ10ሩ ስንት አመጣቹ?

Number 8 Explanation

NUMBER 2 explanation Logarithmic function trigonometric function አይደለም

Trigonometric functions are specifically defined based on the relationships between the sides and angles of a right triangle. They are:
  * Sine (sin)
  * Cosine (cos)
  * Tangent (tan)
  * Cosecant (csc)
  * Secant (sec)
  * Cotangent (cot)
እነዚ ናቸው trig func ሚባሉት

Number 10 explanation


The correct answer is b) 2π.

Here's why:

• The period of a trigonometric function is the horizontal distance it takes for the function to complete one full cycle.

• The sine function (y = sin x) has a characteristic wave shape that repeats every 2π radians.

You can visualize this by looking at the graph of y = sin x. It completes one full wave from 0 to 2π, and then the pattern repeats.