Question

ΔABC is a right triangle in which angle b is a right angle, AB = 1, AC = 2, and BC =square root 3 .

cos C × sin A =

Answer 1

Do you know that

cos(angle) = opposite side/hypotenuse
sin(angle) = adjacent side/hypotenuse

Answer 2

a little

Answer 3

i lost you

Answer 4

Do you understand the figure I put up?

Answer 5

a lil

Answer 6

Focus on the angle at C. the cosine of that angle is defined as the opposite side divided by the hypotenuse. We know both of those lengths.

So, cos(C) = opposite side/hypotenuse
cos(C) = 1/2

Answer 7

Now angle at A. The sine of that angle is defined as adjacent side divided by hypotenuse. We also know both of those lengths.

So, sin(A) = adjacent side/hypotenuse
sin(A) = 1/2

Then

cos(C) * sin(A) = (1/2) * (1/2) = 1/4

Answer 8

i still dont understand

Answer 9

Do you not understand what adjacent side and opposite side means? What doesn't make sense?

Answer 10

everything i dont understand how to do any of this