Question

In △ABC, angle C is a right angle and BC > AC. Select all the statements that are true.

A. m∠B > m∠A
B. sin A > sin B
C. sin A < sin B
D. cos A > cos B
E. cos A < cos B

Answer 1

△ABC right angle C, leg BC > leg AC. So angle A > angle B.

a=BC, b=AC, c=AB

a > b

sin A= cos B = a/c

sin B = cos A = b/c

a = c sin A = c cos B

b = c sin B = c cos A

a > b

c sin A > c sin B

sin A > sin B

c cos B > c cos A

cos B > cos A

Answer: B, E