Trigonometry

If ΔABC and ΔDEF are similar right triangles, the cosine of ∠F will be the same as ______________.

• Sine ∠E
• Cosine ∠B
• Cosine ∠C

Which of the following would explain the relationship between ∠A and ∠C in ∆ABC?

• Sine ∠A = Sine ∠C
• Cosine ∠A = Sine ∠C
• Cosine ∠A = Tangent ∠C

In ∆LMN , if the Sine of ∠L is 3/5 and the Tangent of ∠N is 4/3, what is the Sine of ∠N?(∠M is the right angle)

• 4/5
• 3/4
• 3/5

In ∆JKL, if ∠K is the right angle, what is the relationship between ∠J and ∠L?

• They are complementary.
• They are supplementary.
• They do not have a relationship.

∆XYZ and ∆GHI are similar right triangles with the right angles being at Y and H. If the sine of ∠X is 3/5, what is the cosine of ∠I?

• 4/5
• 5/3
• 3/5
• 5/4

In complementary angles of right triangles, the sine of one is the ________ of the other.

• Sine
• Cosine
• Tangent
• None

In complementary angles of right triangles, the tangent of one is the _________ tangent of the other.

• Opposite
• Same
• Negative
• Inverse

Find the measure of an angle whose opposite side is 9 feet and whose hypotenuse is 41 feet. Round to the nearest degree.

• 77 degrees
• 13 degrees
• 12 degrees
• 78 degrees

Find the measure of the side across from the right angle in a triangle with a 35 degree angle whose adjacent side is 12. Round to the nearest whole number.

• 17
• 21
• 14
• 15

In similar triangles ∆ABC and ∆DEF, ∠A has a sine of 24/25 and ∠D has a sine of 24/25. What is true about these angles?

• They are supplementary.
• They are complementary.
• They are congruent.
• They are the right angle.