Trig: Setting up and Solving for Sides pre

Front

What is the definition of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the sine function in relation to a right triangle?

Back

The sine of an angle (A) is defined as the ratio of the length of the opposite side to the length of the hypotenuse: sin(A) = opp/hyp.

Front

What is the cosine function in relation to a right triangle?

Back

The cosine of an angle (A) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: cos(A) = adj/hyp.

Front

What is the tangent function in relation to a right triangle?

Back

The tangent of an angle (A) is defined as the ratio of the length of the opposite side to the length of the adjacent side: tan(A) = opp/adj.

Front

How do you set up the equation to find a side using sine?

Back

To find a side using sine, use the formula: sin(angle) = opposite/hypotenuse.

Front

How do you set up the equation to find a side using cosine?

Back

To find a side using cosine, use the formula: cos(angle) = adjacent/hypotenuse.

Front

How do you set up the equation to find a side using tangent?

Back

To find a side using tangent, use the formula: tan(angle) = opposite/adjacent.

Front

What is the relationship between the sides in a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: a^2 + b^2 = c^2.

Front

If sin(30°) = 1/2, what does this imply about the sides of the triangle?

Back

This implies that the length of the opposite side is half the length of the hypotenuse.

Front

If cos(45°) = √2/2, what does this imply about the sides of the triangle?

Back

This implies that the lengths of the adjacent side and the hypotenuse are equal.