Trigo 1

Multiple Choice

How do the opposite and adjacent sides of a right angled triangle is defined?

• Opposite side is opposite the reference angle; adjacent side is next to the reference angle.
• Opposite side is always vertical; adjacent side is always horizontal.
• Opposite side is the longest side; adjacent side is the shortest side.
• Opposite side is next to the reference angle; adjacent side is opposite the reference angle.

Multiple Choice

State the property of the hypotenuse from the right angled triangle.

• The hypotenuse is the shortest side of a right-angled triangle.
• The hypotenuse is always equal to the sum of the other two sides.
• The hypotenuse is the side opposite the right angle but not necessarily the longest.
• The hypotenuse is the longest side of a right-angled triangle and satisfies the Pythagorean theorem.

Multiple Choice

What can you say about the 3 right angled triangles?

• They are similar triangles.

• They all have a common reference angle.

• They do follow the Pythagorean theorem.

• They are similar right angled triangles and have a common reference angle.

Multiple Choice

What do you call the ratio of the opposite side to the hypotenuse?

• cosine of the reference angle x.

• tangent of the reference angle x.

• secant of the reference angle x.

• sine of the reference angle x.

Multiple Choice

What do you call the ratio of the opposite side to the adjacent side?

• Tangent of the reference angle x.

• Secant of the reference angle x.

• Cosine of the reference angle x.

• Sine of the reference angle x

Multiple Choice

The shortest but the simplest side lengths of the isosceles right angled triangle are ..............................

• 1, 1, $$\sqrt[]{3}$$

• 1, 1, $$\sqrt[]{2}$$

• 2, 2, $$\sqrt[]{3}$$

• 1, 2, $$\sqrt[]{3}$$

Multiple Choice

The shortest but the simplest side lengths of the right angled triangle are ..............................

• 1, √3, 2
• 2, 2, √3

• 1, 1, √2
• 1, 1, √3

Multiple Choice

Find x.

• 3

• 2

• 1.65

• 2.25

Multiple Choice

Find x.

• 2

• 2.25

• 1.56

• 3.22

Multiple Choice

Find the value of x.

• 16√3

• 8√3/3

• 16√3/3

• 16

Multiple Choice

Find the value of x.

• 72 degrees
• 60 degrees
• 45 degrees
• 30 degrees

Multiple Choice

Find the value of x.

• 60 degrees

• 30 degrees

• 45 degrees

• 6√3

Open Ended

Can you prove $$\tan x=\frac{\sin x}{\cos\ x}$$

Open Ended

Can you prove $$\sin^2x\ +\cos^2x=1$$