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Zoe Austin

Zoe Austin

California Institute of the Arts
Trigonometry

Trigonometry teacher | Verified Expert

I'm a graduate of California Institute of the Arts, specializing in Trigonometry. With a passion for mathematics, I aim to simplify complex trigonometric concepts and make them accessible to students. My teaching approach emphasizes practical applications and real-world examples to enhance understanding. Through personalized instruction, I help students develop problem-solving skills and build confidence in tackling trigonometry challenges. Whether it's mastering identities or understanding geometric principles, I'm dedicated to supporting students on their journey to mathematical proficiency.

Questions

  • How do you solve 4sinx = 3 for 0°< x < 360° ?
  • What is the range of the function #y=sqrt(1-cosxsqrt(1-cosx(sqrt(1-cosx ......oo# ?
  • Prove that #(sin(A+B))/(cos(A-B)) = (tan A-tan B)/(1+tan A tan B)#?
  • Proof:- sin(7 theta)+sin(5 theta)/sin(7 theta)-sin(5 theta)=?
  • Let sin(4x-1=cos(2x+7) write and solve an equation to the value of x?
  • How do you solve cos2θ+3cosθ+2=0 ?
  • How do you solve 5(cos^3)x=5cos x over the interval (0,2pi)?
  • A sector of area 25 in^2 is formed by a central angle of 4 radians. Find the radius of the circle?
  • How do you solve: #csc^4x-4csc^2x=0#?
  • Prove that for every #x>0,x/(1+x^2)<tan^(-1)(x)<x#?
  • Prove that #cosec(x/4)+cosec (x/2)+cosecx=cot(x/8)-cotx# ?
  • How do you verify #(2cos^2x-1)^2/(cos^4x-sin^4x)=1-2sin^2x#?
  • The vertical motion of a seat on a Ferris Wheel can be described by the equation y=25cos(pit/3)+26 What is the period of the seat's motion in seconds?
  • A luggage wagon is being pulled with vector force V​, which has a magnitude of 750 pounds at an angle of elevation of 63 degrees. What is vector V in components?
  • How do i simplify 1-2sin^2x+sin^4x?
  • Given #csctheta=-5, costheta<0# to find the remaining trigonometric function?
  • What does csc pi/2 equal?
  • How do you find the unit vector in the direction of the given vector of #w=i-2j#?
  • How do you evaluate #tan^-1(-(sqrt3)/3)#?
  • What is the angle between #<-1,8,6 ># and #< -6,3,0>#?