# 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 simplify #cot(x+y)+cos(4x-y)# to trigonometric functions of x and y?

How do you solve the triangle given #C=103^circ, a=3/8, b=3/4#?

How do you simplify #sin(t+pi/2)#?

How do you use the half-angle identity to find the exact value of cos [ - (3pi) / 8]?

How do you get the exact value of #sec^-1(-2)#?

How do you find the amplitude, period, and shift for #y=sin (3x-pi/4)#?

How do you graph the polar equation #r=1.5theta#?

What is the sign of expression: abs(cos(x))-log2 (3) ??????

In southern California, there is a six mile section of Interstate 5 that increases 2,500 feet in elevation. What is the angle of elevation?

How do you simplify #(sec x - cos x) / tan x#?

How do you use the half angle formula to evaluate #Tan (-195) #?

A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 6, respectively. The angle between A and C is #(11pi)/24# and the angle between B and C is # (11pi)/24#. What is the area of the triangle?

What is the Cartesian form of #r^2+r = 2theta-sec^2theta+4csctheta #?

What identity is this? If it would be pythagorean identity the identity would change from csc squared to cot squared plus one

What is the domain and range of #(cosx)^2-1#?

If #A = <3 ,-1 ,-7 >#, #B = <5 ,8 ,-4 ># and #C=A-B#, what is the angle between A and C?

How do you find all solutions of the equation #tan(x+pi)+2sin(x+pi)=0# in the interval #[0,2pi)#?

How do you find the other five trigonometric values given cos t = 5/13 and sin t > 0?

How do you divide #( i-5) / (2i+12)# in trigonometric form?

A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 1, respectively. The angle between A and C is #(3pi)/8# and the angle between B and C is # (5pi)/12#. What is the area of the triangle?