Question

Is this right?

1. Given a right triangle ABC, find the following trigonometric ratios with sides AB = 6, BC = 8 and AC = 10 units. Hint: draw and label your triangle.
a) sin A = 0.13
b) cos A = 0.99
c) tan A = 0.02
d) sin C = 0.01
e) cos C = 0.99

2. Looking back at question 1,
a) which vertex has the right angle? How do you know? B has a vertex. I know this because angle A and and C connect to angle B, and angle B it the corner of a right angle.
b) what do you notice about sine and cosine of complementary angles? The sine of A is different from the sine of C, and the Cosine of A is the same as the cosine of C

Answer 1

Q1.

AC is the greatest side, therefore is hypotenuse. AB and BC are legs.

B is 90 deg as the two legs cross at this point.

Ratios:

• sin = opposite / hypotenuse
• cos = adjacent / hypotenuse
• tan = opposite / adjacent

BC is opposite to A and adjacent to C

AB is adjacent to A and opposite to C

• sin A = cos C = 8/10 = 4/5
• cos A = sin C = 6/10 = 3/5
• tan A = cot C = 8/6 = 4/3
• tan C = cot A = 6/8 = 3/4

Q2.

a) Answered above

b) Answered above