cosine (90- theta) = sine (theta)
90+ whatever number is in form of sin.
Reciprocal of Cosine is Secant
it would be secant, 1/cosine
[ cos(Θ) ]-1 = 1/cosine(Θ) = secant(Θ)
The cosine of 90 degrees is zero.
Cosine of 90 degrees is zero.
Zero
cosine (90- theta) = sine (theta)
A Sine-Cosine Encoder is a position transducer using only two sensors, each 90 degrees out of phase with respect to each other, driving an up/down counter through appropriate logic. Since sine and cosine are 90 degrees out of phase with repect to each other, this technique is called sine-cosine encoding. The computer mouse is an example of this technique.
90+ whatever number is in form of sin.
It is cosine*cosine*cosine.
Just like the sine function displaced by pi/2. In other words the cosine equals 1 at 0 degrees, 0 at 90 degrees, -1 at 180 and so on.
Power in an electric, AC circuit is the product of Volts, Amps, and the Cosine of the angle that separates them. When the Amps lag behind the Volts by 60 degrees, the product of Volts, Amps, and the Cosine of the angle between them provides half the power that would otherwise be available without the 60 degree angle. At 60 degrees, the cosine is 0.5 and at 90 degrees it is zero. So the product of Volts and Amps whenever they are 90 degrees out of phase will result in zero power.
First, I assume the question refers to tan(90 degrees) not Ten90' because (apart from the incorrect spelling of tan) 90' represents 90 minutes or 90/60 degrees = 1.5 degrees. The tangent of an angle is defined as the ratio of sine to cosine of the angle. When that angle is 90 degrees, the cosine is zero and so calculation of tan involves division by 0. And, in mathematics division by 0 is not infinity - it is not defined. So, tan(90) is NOT infinity. It is not defined. tan90 has a positive asymptote when you approach 90 degrees from below but has a negative asymptote when you approach from above.
This question makes no sense as the specified condition cannot occur. The phase shift between a sine wave and a cosine wave is always 90 degrees, by definition.
sin(30) = sin(90 - 60) = sin(90)*cos(60) - cos(90)*sin(60) = 1*cos(60) - 0*sin(60) = cos(60).