Sin(x) cos(x) = 1/2 of sin(2x)
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.
half range cosine series or sine series is noting but it consderingonly cosine or sine terms in the genralexpansion of fourierseriesfor examplehalf range cosine seriesf(x)=a1/2+sigma n=0to1 an cosnxwhere an=2/c *integral under limits f(x)cosnxand sine series is vice versa
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
in trigonometry
Sine and cosine are cofunctions, which means that their angles are complementary. Consequently, sin (90° - x) = cos x. Secant is the reciprocal of cosine so that sec x = 1/(cos x). Knowing these properties of trigonometric functions, among others, will really help you in other advance math courses.
No, they do not.
No, it does not.
The sine and cosine of acute angles are equal only for 45° sin45° = cos 45° = 1/sqrt(2) = 0.7071
Cosine squared theta = 1 + Sine squared theta
at a 45 degree angle, or pi/4
225 degrees
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
Opposite side over Adjacent side, or sine/cosine
because sine & cosine functions are periodic.