1
1/2 think of it like a pizza pie. 1/2 would be half of the entire pie. however, 3 / 13 would be 3 slices if the pie was cut into 13 slices. clearly, 1/2 is larger.
1/9 doubled is 2/9. Consider a pie cut into 9 pieces. 1/9 is one piece of pie. Double that top get 2 pieces of pie or 2/9.
cos(a)cos(b)-sin(a)sin(b)=cos(a+b) a=7pi/12 and b=pi/6 a+b = 7pi/12 + pi/6 = 7pi/12 + 2pi/12 = 9pi/12 We want to find cos(9pi/12) cos(9pi/12) = cos(3pi/4) cos(3pi/4)= cos(pi-pi/4) cos(pi)cos(pi/4)-sin(pi)sin(pi/4) cos(pi)=-1 sin(pi)=0 cos(pi/4) = √2/2 sin(pi/4) =√2/2 cos(pi)cos(pi/4)-sin(pi)sin(pi/4) = - cos(pi/4) = -√2/2
[sin - cos + 1]/[sin + cos - 1] = [sin + 1]/cosiff [sin - cos + 1]*cos = [sin + 1]*[sin + cos - 1]iff sin*cos - cos^2 + cos = sin^2 + sin*cos - sin + sin + cos - 1iff -cos^2 = sin^2 - 11 = sin^2 + cos^2, which is true,
It would be 1 over square root 5.
-1
sin(2*pi) - not pie - is the same as sin(0) = 0
1/3
Sin(pi/6) = 1/2 is a true statement [not pie].
First of all it is NOT 'pie' . 'Pie' is the foodstuff that you eat e,g, apple pie, meat pie. The Mathemtical 'pi' is spelled as 'pi' and is from the Classical Greek alphabet, and represent the small /lower case letter 'p'. To answer your question. Set your calculator in RADIAN Mode. Sin(pi/3) sqrt(3) /2 = 0.8660254.... NB You will have an incorrect answer if your calculator is set in 'DEGREE' Mode.
0.75
sin(3π/2) = -1
1
1
1/2 think of it like a pizza pie. 1/2 would be half of the entire pie. however, 3 / 13 would be 3 slices if the pie was cut into 13 slices. clearly, 1/2 is larger.
one over the square root of 2 or 0.850903525
Sin(3pi/2) = Sin(2pi - pi/2) Double angle Trig. Identity. Hence Sin(2pi)Cos(pi/2) - Cos(2pi) Sin(pi/2) Sin(2pi) = 0 Cos(pi/2) = 0 Cos(2pi) = 1 Sin(pi/2) = 1 Substituting 0 x 0 - 1 x 1 = 0 - 1 = -1 The answer!!!!!