Inhoudsopgave
Wat is de afgeleide van cos2x?
Als je cos(2x) moet afleiden dan doe je dat met de kettingregel. Stel u(x)=2x en y(u)=cos(u), dan du/dx=2 en dy/du=-sin(u)=-sin(2x). Nu de afgeleide schakels met elkaar vermenigvuldigen, dus du/dx·dy/du = dy/dx = -2·sin(2x).
Wat is cosinus kwadraat?
Soms kom je ook goniometrische vergelijken tegen met een sinus of cosinus in het kwadraat. Als deze van de vorm sin 2(x) = c is, is het antwoord sin(x) = √c of sin(x) = -√c (en hetzelfde voor cos 2(x)).
Wat is de afgeleide van de Cotangens?
2x cos(x2). cos x….
| Afgeleide functie | In samengestelde functies |
|---|---|
| d dx cos x = – sin x | d dx cos u = sin u du dx |
| d dx tan x = 1 cos2x = sec2 x | d dx tan u = sec2u du dx |
| d dx cotan x = – cosec2 x | d dx cotan u = – cosec2u du dx |
| d dx sec x = sinx cos2x = sec x tan x. | d dx sec u = sec u tan u du dx |
What is sin 2 theta?
Sin 2 theta is the sine of the angle which is double the value of theta. A formula to calculate sin 2 theta is: This can be used when you know the value of sine and cosine of theta and not 2 theta. Enter a name, wait 7 seconds, brace yourself (this is addicting).
What is the value of cos (θ) (2sin (θ)-1)?
The period of the sin ( θ) sin ( θ) function is 2 π 2 π so values will repeat every 2 π 2 π radians in both directions. The final solution is all the values that make cos(θ)(2sin(θ)− 1) = 0 cos ( θ) ( 2 sin ( θ) – 1) = 0 true.
What are the Pythagorean identities of sin 2 and cos 2?
1 − cos 2θ. . cos 2θ. =. 1 − sin 2θ. These are called Pythagorean identities, because, as we will see in their proof, they are the trigonometric version of the Pythagorean theorem. The two identities labeled a ‘) — “a-prime” — are simply different versions of a).
What is the difference between a prime and sine squared Theta?
The two identities labeled a ‘) — “a-prime” — are simply different versions of a). The first shows how we can express sin θ in terms of cos θ; the second shows how we can express cos θ in terms of sin θ. Note: sin 2θ — “sine squared theta” — means (sin θ) 2.