GRADE 10 MATH {Trigonometry}

Front

What is the definition of trigonometry?

Back

Trigonometry is a branch of mathematics that studies the relationships between the angles and sides of triangles, particularly right triangles.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

What are the primary trigonometric ratios?

Back

The primary trigonometric ratios are sine (sin), cosine (cos), and tangent (tan). They are defined as follows: sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, tan(θ) = opposite/adjacent.

Front

How do you calculate the height of an object using the angle of elevation?

Back

To calculate the height of an object using the angle of elevation, use the formula: height = distance from the object * tan(angle of elevation).

Front

What is the sine rule in trigonometry?

Back

The sine rule states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant: a/sin(A) = b/sin(B) = c/sin(C).

Front

What is the cosine rule in trigonometry?

Back

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles: c² = a² + b² - 2ab*cos(C).

Front

How do you find the angle of elevation from a point to an object?

Back

To find the angle of elevation, use the formula: angle = arctan(opposite/adjacent), where 'opposite' is the height of the object and 'adjacent' is the distance from the observer to the base of the object.

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles. To convert degrees to radians, multiply by π/180. To convert radians to degrees, multiply by 180/π.

Front

What is the tangent of an angle in a right triangle?

Back

The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side: tan(θ) = opposite/adjacent.

Front

How do you round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.