Trigonometric Functions and Graphing

The video tutorial explains how to graph a point on a coordinate plane, draw a ray from the origin to the point, and form a right triangle. It demonstrates using the Pythagorean theorem to find the hypotenuse and calculates trigonometric ratios such as sine, cosine, and tangent using the SOHCAHTOA acronym. The tutorial also covers reciprocal trigonometric functions, including cosecant, secant, and cotangent.

What is the first step in graphing the point (-5, -12) on the coordinate plane?

• Move right 5 units and up 12 units.

• Move left 5 units and down 12 units.

• Move right 12 units and up 5 units.

• Move left 12 units and down 5 units.

What geometric shape is formed when a ray is drawn from the origin to the point (-5, -12)?

• A square

• A circle

• A rectangle

• A right triangle

Which theorem is used to find the hypotenuse of the triangle formed?

• Binomial theorem

• Fermat's Last Theorem

• Thales' theorem

• Pythagorean theorem

What is the length of the hypotenuse in the triangle with sides -5 and -12?

• 13

• 12

• 15

• 10

What does the acronym SOHCAHTOA help us remember?

• The trigonometric ratios

• The properties of triangles

• The order of operations

• The types of angles

How is the sine of theta calculated in a right triangle?

• Adjacent over hypotenuse

• Opposite over adjacent

• Opposite over hypotenuse

• Hypotenuse over opposite

What is the sine of theta for the triangle with sides -5, -12, and 13?

• 12/13

• -5/13

• 5/13

• -12/13

What is the reciprocal of the sine function called?

• Cotangent

• Cosecant

• Tangent

• Secant

How is the cosine of theta calculated in a right triangle?

• Opposite over adjacent

• Adjacent over hypotenuse

• Hypotenuse over adjacent

• Opposite over hypotenuse

What is the cosine of theta for the triangle with sides -5, -12, and 13?

• 12/13

• 5/13

• -12/13

• -5/13