# Zoe Austin

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 sketch the graph of #y=3 cos (x+π) -3#?

Convert the equation y =#-(sqrt(3)/(3))x# to polar form?

What is the period of the function #y=1/4sin((-7pi)/4x)#?

How do you prove #sec^6x(secxtanx) - sec^4x(secxtanx) = sec^5xtan^3x#?

How would you solve: sin^2(pi/5)-cos^2(pi/5)? (show steps) Thanks

How do you evaluate #tan^-1(tan((7pi)/6))#?

If #z=tanalpha+itanbeta#, find the modulus and argument of #z#?

Four marbles of radius #3/8# inch are placed in a cylindrical container. The first three marbles fit snuggly with the fourth marble on top. The cylinder is then filled with water up to the top of the fourth marble. What is the volume of water?

If #tan theta=sqrt(3)#, what are the other values?

A triangle has sides A, B, and C. Sides A and B are of lengths #6# and #5#, respectively, and the angle between A and B is #pi/6#. What is the length of side C?

How do you prove #cos ((2pi)/3)#?

How do you prove #cos(x) / (1-sin(x)) = sec(x) + tan(x)#?

How would you find the period of this equation #y= -5sin2(x - π/6) + 1#?

How do you use the half angle formula to simplify #sin^2(pi/6)#?

How do you convert #x^2 - y^2 = 1# to polar form?

How do you solve #sin(x) = cos(x)#?

Jared is standing 12 feet from a rock-climbing wall. When he looks up to see his friend ascend the wall, the angle of elevation is 56°. How high up the wall is his friend?

How do you prove #cos^2β-sin^2β=2cos^2β-1#?

How do you prove #[1 - cos(x)]/[sin(x)] = tan(x/2)#?

How do you find the period of #y=4sin2x#?