Exploring Right Triangle Trigonometry Concepts

This video tutorial introduces trigonometry, focusing on trigonometric ratios and their reciprocals. It covers basic right triangle trigonometry, including sine, cosine, and tangent, and introduces cosecant, secant, and cotangent. The tutorial provides examples of calculating these ratios in right triangles, discusses special right triangles (30-60-90 and 45-45-90), and demonstrates solving a right triangle using trigonometric functions.

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

• Adjacent over hypotenuse

• Opposite over adjacent

• Opposite over hypotenuse

• Hypotenuse over opposite

What is the reciprocal of cosine known as?

• Cosecant

• Cotangent

• Secant

• Sine

What is the cosecant of an angle?

• Reciprocal of cosine

• Reciprocal of sine

• Reciprocal of cotangent

• Reciprocal of tangent

How do you find the hypotenuse of a right triangle?

• Add the lengths of the two legs

• Divide the opposite by the adjacent

• Use the Pythagorean theorem

• Multiply the sine by the cosine

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

• Adjacent over hypotenuse

• Opposite over adjacent

• Opposite over hypotenuse

• Hypotenuse over opposite

In trigonometry, what does the notation 'tan' represent?

• Tangent, which is hypotenuse over opposite

• Tangent, which is opposite over adjacent

• Tangent, which is adjacent over opposite

• Tangent, which is opposite over hypotenuse

What is the length of the side opposite the 30-degree angle in a 30-60-90 triangle?

• 1

• Square root of 2

• 2

• Square root of 3

In a 45-45-90 triangle, what is the relationship between the legs and the hypotenuse?

• Legs are equal to the hypotenuse

• Hypotenuse is the square root of 2 times a leg

• Hypotenuse is twice the length of a leg

• Legs are the square root of 2 times the hypotenuse

How do you solve a right triangle?

• Measure the sides with a ruler

• Calculate the area of the triangle

• Use the Pythagorean theorem only

• Find the lengths of all sides and the measurements of all angles

What trigonometric function would you use to find a side opposite to a given angle?

• Secant

• Tangent

• Cosine

• Sine