Find the exact value of sin (pi/3-pi/4)
2007-09-04 20:45:48 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Use the sum formula:
sin(a + b) = sin a cos b + sin b cos a
In this case, a = pi/3 and b = -pi/4, so we get
sin(pi/3 - pi/4) = sin (pi/3) cos (-pi/4) + sin (-pi/4) cos (pi/3)
= (√3 / 2) (√2 / 2) + (-√2 / 2)(1/2)
= √6 / 4 - √2 / 4
= (√6 - √2) / 4.
2007-09-04 20:50:42 · answer #1 · answered by Anonymous · 1⤊ 0⤋
I just whacked into calculator not knowing what I was doing and got
0.004569245
I did equation
sin (pi/3-pi/4) =
2007-09-04 20:50:50 · answer #2 · answered by Anonymous · 0⤊ 0⤋
sin (pi.3 -- pi/4)
=sin(pi/3)cos(pi/4) -- cos(pi/3)sin(pi/4)
= (sqrt3)/2 * 1/sqrt2 -- (1/2) * 1/sqrt2
= [sqrt3 -- 1] / 2sqrt2
= [1.732 -- 1] / 2(1.414)
= 0.732 / 2.848
= 0.2570
2007-09-04 21:11:36 · answer #3 · answered by sv 7 · 0⤊ 0⤋
Use the angle subtraction formula for sines.
sin(π/3 - π/4) = (sin π/3)(cos π/4) - (cos π/3)(sin π/4)
sin(π/3 - π/4) = (√3/2)(1/√2) - (1/2)(1/√2)
sin(π/3 - π/4) = (√3 - 1) / (2√2)
sin(π/3 - π/4) = (√6 - √2) / 4 ≈ 0.258819
2007-09-04 20:53:13 · answer #4 · answered by Northstar 7 · 0⤊ 0⤋
dustin that is not and exact value genius that is an approximate value, sorry I dont do homework help but I just had to point out his answer was wrong
2016-05-17 06:29:07 · answer #5 · answered by ? 3 · 0⤊ 0⤋
4.57 x 10^-3
2007-09-04 20:50:22 · answer #6 · answered by jara 3 · 0⤊ 0⤋