90 degrees - 72 degrees = 18 degrees -------------------
72 degrees is an acute angle
If sin(theta) is 0.9, then theta is about 64 degrees or about 116 degrees.
sin(90) = 1
sin(360+30) =sin(30)= 1/2
It 2*pi/5 radians or 72 degrees.
The statement of the problem is equivalent to sin x = - cos x. This is true for x = 135 degrees and x = -45 degrees, and also for (135 + 180n) degrees, where n is any integer.
tan(9) + tan(81) = sin(9)/cos(9) + sin(81)/cos(81)= {sin(9)*cos(81) + sin(81)*cos(9)} / {cos(9)*cos(81)} = 1/2*{sin(-72) + sin(90)} + 1/2*{sin(72) + sin(90)} / 1/2*{cos(-72) + cos(90)} = 1/2*{sin(-72) + 1 + sin(72) + 1} / 1/2*{cos(-72) + 0} = 2/cos(72) since sin(-72) = -sin(72), and cos(-72) = cos(72) . . . . . (A) Also tan(27) + tan(63) = sin(27)/cos(27) + sin(63)/cos(63) = {sin(27)*cos(63) + sin(63)*cos(27)} / {cos(27)*cos(63)} = 1/2*{sin(-36) + sin(90)} + 1/2*{sin(72) + sin(36)} / 1/2*{cos(-36) + cos(90)} = 1/2*{sin(-36) + 1 + sin(36) + 1} / 1/2*{cos(-36) + 0} = 2/cos(36) since sin(-36) = -sin(36), and cos(-36) = cos(36) . . . . . (B) Therefore, by (A) and (B), tan(9) - tan(27) - tan(63) + tan(81) = tan(9) + tan(81) - tan(27) - tan(63) = 2/cos(72) – 2/cos(36) = 2*{cos(36) – cos(72)} / {cos(72)*cos(36)} = 2*2*sin(54)*sin(18)/{cos(72)*cos(36)} . . . . . . . (C) But cos(72) = sin(90-72) = sin(18) so that sin(18)/cos(72) = 1 and cos(36) = sin(90-36) = sin(54) so that sin(54)/cos(36) = 1 and therefore from C, tan(9) – tan(27) – tan(63) + tan(81) = 2*2*1*1 = 4
72 degrees F.72 degrees F.72 degrees F.72 degrees F.
90 - 18 = 72 degrees.90 - 18 = 72 degrees.90 - 18 = 72 degrees.90 - 18 = 72 degrees.
90 degrees - 72 degrees = 18 degrees -------------------
72 degrees each. There are 5 angles. You divide 360 degrees by 5 and get 72 degrees.
Do you mean sin(x)=sqrt(3)/2? IF so, look at at 30/60/90 triangle. We see the sin 60 degrees is square (root of 3)/2
72 degrees Fahrenheit is equal to 22.22 degrees Celsius.
72 degrees Fahrenheit is approximately 22.2 degrees Celsius.
all sin is sin97 degrees Fahrenheit = 36.1 degrees Celsius
The sine of 57 degrees is approximately 0.8387.