Trig Ratios

What is the tangent of 45 degrees?

• 0

• 1

• \sqrt{2}

• \frac{1}{\sqrt{2}}

What is the value of the hypotenuse if the other two sides are 9 and 40?

• 39

• 41

• 42

• 45

What is the cosine ratio in a right triangle?

• @@rac{adjacent}{hypotenuse}@@

• @@rac{opposite}{hypotenuse}@@

• @@rac{adjacent}{opposite}@@

• @@rac{hypotenuse}{adjacent}@@

What is the relationship between the sides of a right triangle according to the Pythagorean theorem?

• 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@@.

• The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

• In a right triangle, the hypotenuse is always the longest side, but the squares of the sides do not relate to each other.

• The area of a right triangle is equal to half the product of the lengths of the two shorter sides.

If sin X = @@\frac{3}{5}@@, what is the value of cos X?

• @@\frac{3}{5}@@

• @@\frac{4}{5}@@

• @@\frac{5}{3}@@

• @@\frac{1}{2}@@

What is the tangent ratio in a right triangle?

• @@rac{opposite}{adjacent}@@

• @@rac{adjacent}{opposite}@@

• @@rac{hypotenuse}{opposite}@@

• @@rac{hypotenuse}{adjacent}@@

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

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

• The hypotenuse is the shortest side of a right triangle, adjacent to the right angle.

• The hypotenuse is the side opposite the smallest angle in a right triangle.

• The hypotenuse is the side that forms the right angle in a right triangle.

What is the cosine of 60 degrees?

• @@rac{1}{2}@@

• @@rac{ ext{sqrt}(3)}{2}@@

• @@0@@

• @@1@@

If the opposite side is 16 and the hypotenuse is 34, what is sin X?

• @@\frac{16}{34}@@

• @@\frac{8}{34}@@

• @@\frac{16}{30}@@

• @@\frac{20}{34}@@

What is the formula to find the adjacent side if the angle and hypotenuse are known?

• adjacent = hypotenuse \times cos(angle)

• adjacent = hypotenuse \times sin(angle)

• adjacent = hypotenuse \times tan(angle)

• adjacent = hypotenuse \div cos(angle)