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

👏 Thanks for your participation ለዛሬ ይበቃል።

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.

1. The diameter of a circle is 10 cm. What is its radius?

a) 2 cm
b) 5 cm
c) 10 cm
d) 20 cm

2. What is the circumference of a circle with a radius of 7 cm? (Use π ≈ 3.14)

a) 14 cm
b) 21.98 cm
c) 43.96 cm
d) 153.86 cm

3. A circle has an area of 25π square units. What is its radius?

a) 5 units
b) 10 units
c) 25 units
d) 50 units

4. A central angle in a circle measures 120°. What is the measure of the intercepted arc?

a) 120°
b) 60°
c) 30°
d) 180°

5. A chord in a circle is 10 cm long and is 6 cm away from the center of the circle. What is the radius of the circle?

a) 5 cm
b) 8 cm
c) 10 cm
d) 12 cm

6. Two tangents are drawn to a circle from an external point. What is the relationship between the lengths of the tangents?

a) They are equal.
b) They are proportional to the radius.
c) They are inversely proportional to the radius.
d) There is no specific relationship.

7. A circle is inscribed in a square. What is the ratio of the area of the circle to the area of the square?

a) π/2
b) π/4
c) π/8
d) π/16

8. A square is inscribed in a circle. What is the ratio of the area of the square to the area of the circle?

a) 1/2
b) 1/π
c) 2/π
d) 2√2/π

9. Two circles are concentric (they share the same center). The radius of the larger circle is 12 cm, and the radius of the smaller circle is 5 cm. What is the area of the region between the two circles?

a) 119π sq cm
b) 144π sq cm
c) 25π sq cm
d) 169π sq cm

10. A tangent line intersects a circle at a single point. What is the measure of the angle formed between the tangent line and the radius drawn to the point of tangency?

a) 30°
b) 45°
c) 60°

Quiz time

1. Which of the following is the past tense of "go"?

a) Gone
b) Went
c) Going
d) Go

2. Which of the following is the past tense of "eat"?

a) Eaten
b) Eating
c) Ate
d) Eat

3. Which of the following is the past tense of "see"?

a) Saw
b) Seen
c) Seeing
d) See

4. Which of the following is the past tense of "do"?

a) Done
b) Did
c) Doing
d) Do

5. Which of the following is the past tense of "say"?

a) Said
b) Saying
c) Sayed
d) Say