Unit 4A Mixed Review

Front

What is the definition of secant (sec)?

Back

The secant of an angle in a right triangle is the ratio of the length of the hypotenuse to the length of the adjacent side. It is also defined as sec(x) = 1/cos(x).

Front

What is the definition of cosecant (csc)?

Back

The cosecant of an angle in a right triangle is the ratio of the length of the hypotenuse to the length of the opposite side. It is also defined as csc(x) = 1/sin(x).

Front

What is the definition of tangent (tan)?

Back

The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side. It is also defined as tan(x) = sin(x)/cos(x).

Front

What is the relationship between sine and cosine?

Back

The sine and cosine functions are related by the Pythagorean identity: sin²(x) + cos²(x) = 1.

Front

How do you convert radians to degrees?

Back

To convert radians to degrees, multiply the radian measure by 180/π.

Front

What is the value of 11π/6 radians in degrees?

Back

330 degrees.

Front

What does θ/2 represent in trigonometry?

Back

θ/2 represents half of the angle θ.

Front

What is the definition of the cosecant function?

Back

The cosecant function is the reciprocal of the sine function: csc(x) = 1/sin(x).

Front

What is the definition of the secant function?

Back

The secant function is the reciprocal of the cosine function: sec(x) = 1/cos(x).

Front

What is the value of csc(t) + tan(t) + sec(t) when simplified?

Back

The expression simplifies to 2 sec(t).