The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Cosine
The sine curve is exactly the same as the cosine curve shifted pi/2 radians to the left
It is to convert a function into a sum of sine (or cosine) functions so as to simplify its analysis.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Cosine
The sine curve is exactly the same as the cosine curve shifted pi/2 radians to the left
It is to convert a function into a sum of sine (or cosine) functions so as to simplify its analysis.
Cosine (0) = 1 Sin(0) = 0 The sine and cosine curves are two intertwining curves, that complement each other, hence the words 'Sine (Curve) and Cosine ( COmplementary Curve).
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.
sine graph will be formed at origine of graph and cosine graph is find on y-axise
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Yes. The cosine function is continuous. The sine function is also continuous. The tangent function, however, is not continuous.
Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.
For such simplifications, it is usually convenient to convert any trigonometric function that is not sine or cosine, into sine or cosine. In this case, you have: sin theta / sec theta = sin theta / (1/cos theta) = sin theta cos theta.