SOLUTION: Evaluate the expression without using a calculator (sin pi/6 cos pi/4 - sin pi/4 cos pi/6)2

Algebra.Com
Question 645729: Evaluate the expression without using a calculator
(sin pi/6 cos pi/4 - sin pi/4 cos pi/6)2

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Evaluate the expression without using a calculator
(sin pi/6 cos pi/4 - sin pi/4 cos pi/6)^2
=(1/2*√2/2-√2/2*√3/2)^2
=(√2/4-√6/4)^2
=2/16-2√12/16+6/16
=1/8-√12/8+3/8
=4/8-√12/8
=(4-√12)/8

RELATED QUESTIONS

Please explain Evaluate the expression without using a calculator: {{{ (sin (pi/4)... (answered by lwsshak3)
evaluate the (cos pi/4 +sin pi/6)^2 (answered by greenestamps)
evaluate the (cos pi/4 +sin... (answered by Edwin McCravy)
((cos(pi/4)+sin((pi/6))^2 (answered by greenestamps)
Find the following values without using a calculator: a. {{{ sin ( -7 pi / 6 ) }}} b.... (answered by solver91311)
arcsin(sin(10pi/3))+ arccos(cos(11pi/6))= A) pi/2 B) pi/6 C) pi/3 D)... (answered by ikleyn)
Find the exact value of the expression as a single fraction.... (answered by Alan3354)
Evaluate: Sec pi/4 - sin 13pi/6 - cos... (answered by Alan3354)
Evaluate each: a) 2sin30/3cos45 b) (sin210 - 2sin(5pi/4)/ cos150 c) (sin(-pi/4)) /... (answered by solver91311)