Liyuki
Liyuki Liyuki
  • 20-03-2017
  • Mathematics
contestada

Simplify. cos^2[(pi/2) - x] + cos^2[(pi/2) - x] + cos^2x

Simplify cos2pi2 x cos2pi2 x cos2x class=

Respuesta :

mostlytoastie
mostlytoastie mostlytoastie
  • 20-03-2017

Numerator
cos(π/2−x)=cos(π/2)cosx+sin(π/2)sinx

now cos(π/2)=0 and sin(π/2)=1

simplifies to : 0 + sinx = sinx

Denominator

sin(π/2−x)=sin(π/2)cosx+cos(π/2)sinx

simplifies to : cosx + 0 = cosx

⇒cos(π/2−x)sin(π/2−x)=sinx/cosx=tanx

Answer Link

Otras preguntas

If Dedra has a mass of 50 kg, where would she weigh the most? Sun Gravity = 274 m/s2 Moon Gravity = 1.6 m/s2 Earth Gravity = 9.8 m/sa
SOMEONE!!!!!!!!!!!!!!
What were the advantages ( strengths) and disadvantages ( weaknesses) of both the Confederacy and Union during the war?
Explain how to multiply the following binomials (2x - y)(2x + y).
Mycobacterium tuberculosis (Mtb) is a bacterial pathogen that can cause skin infections as well as pneumonia. Mtb is often phagocytosed by immune cells called m
Solve |6k + 12| + 9 = 9 for k.
A large metal sphere has three times the diameter of a smaller sphere and carries three times the charge. Both spheres are isolated, so their surface charge den
what are the source of public revenue​
If a consumer is always indifferent between an additional one grapefruit or an additional two oranges, then when oranges are on the horizontal axis the indiffer
Crea un poema cuyo título sea : *Mi vida saludable* debe estar compuesta por : tres estrofas con rimas consonantes., Doy coronita :> AyuDa = AiuDa = HelP =