Special Right Triangles & Trigonometry

What is the SINE of Z?

Answer explanation

SINE means opposite over hypotenuse.

The opposite side is far away from the angle.

The hypotenuse side is the longest side in the triangle.

What is the COSINE of C?

Answer explanation

COSINE means adjacent over hypotenuse.

The adjacent side is the side that is close to the angle.

The hypotenuse is the longest side in the triangle.

What is the TANGENT of C?

Answer explanation

TANGENT means opposite over adjacent.

The opposite side is far away from the angle.

The adjacent side is close to the angle.

What is the TANGENT of A?

Answer explanation

TANGENT means opposite over adjacent.

The opposite side is far away from the angle.

The adjacent side is close to the angle.

Which Trig function would you use to solve for x?

• Sine
• Cosine
• Tangent
• Pythagorean theorem

Answer explanation

The x is opposite and the 19 in the hypotenuse.

SINE means opposite over hypotenuse which are the two sides used.

What is the value of x in simplest radical form?

Answer explanation

This is a 45-45-90 triangle.

You should multiply the leg by the square root of two to get your answer.

What is the value of x in simplest radical form?

• 3.5

Answer explanation

This is a 45-45-90 triangle.

To calculate the leg, take the hypotenuse and divide it by the square root of 2.

What is the value of x in simplest radical form?

Answer explanation

This is a 30-60-90 triangle.

To find the long leg, you must multiply the short leg by the square root of 3

What is the value of x in simplest radical form?

Answer explanation

This is a 30-60-90 triangle.

You are given the long leg and need to calculate the hypotenuse.

The hypotenuse is twice as long as the short leg.

What is the value of x in the triangle?

• 14.5718

• 8.7556

• 28.2927

• 29.4449

Answer explanation

You need to use SINE to solve this problem.