Exploring Right Triangle Trigonometry

This video tutorial covers right triangle trigonometry, including the basic trig ratios of sine, cosine, and tangent, as well as their reciprocals. It explains complementary angles and provides example problems using the Pythagorean theorem. The unit circle is introduced to find exact values of trig functions, and the video concludes with instructions on using calculators to compute these functions in both degree and radian modes.

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

• Hypotenuse over opposite side

• Opposite side over adjacent side

• Adjacent side over hypotenuse

• Opposite side over hypotenuse

Which function is the reciprocal of sine?

• Cosecant

• Secant

• Cotangent

• Cosine

What does the Pythagorean theorem state?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 + c^2 = b^2

• b^2 + c^2 = a^2

How is the cosecant of an angle calculated in terms of sine?

• 1 over sine of the angle

• Cosine of the angle over 1

• Sine of the angle over 1

• 1 over cosine of the angle

What does the Pythagorean theorem help to find in a right triangle?

• The length of the hypotenuse

• The area of the triangle

• The perimeter of the triangle

• The height of the triangle

What is the cosine of 45 degrees as found using the unit circle?

• sqrt(2)/2

• sqrt(3)/2

• 1

• 1/2

What is the tangent of 45 degrees?

• 1

• sqrt(2)

• 1/2

• 0

What is the relationship between the sine of 60 degrees and the cosine of 30 degrees?

• They are equal

• They are reciprocals

• They are complementary

• No specific relationship

What is the result of the tangent of pi/4?

• 1

• Undefined

• 0

• sqrt(2)

How do you calculate the secant of an angle using a calculator?

• Cosine of the angle over 1

• Sine of the angle over 1

• 1 over the sine of the angle

• 1 over the cosine of the angle