# 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

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

What is the frequency of #f(theta)= sin 3 t - cos2 t #?

How do you evaluate #Sin(pi/2) + 6 cos(pi/3) #?

How do you verify the identity #sec(A-B)=(secAsecB)/(1+tanAtanB)#?

Using De Moivre's Theorem, What is the indicated power of #(-sqrt2 -sqrt2 i)^5#?

How do you solve #tan(x)=1/2#?

How do you simplify #1+cot^2theta-cos^2theta-cos^2thetacot^2theta#?

How can you use trigonometric functions to simplify # 3 e^( ( pi)/8 i ) # into a non-exponential complex number?

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

How do you find the five remaining trigonometric function satisfying #sintheta=3/8#, #costheta<0#?

How do you convert #xy=x-2y-3y^2 # into a polar equation?

How do you simplify the expression #sin (arctan (1/4) + arccos (3/4) )#?

How do you use the half-angle identity to find the exact value of cos(-pi/12)?

What is #cos(-theta)# in terms of #costheta#?

What is the period of the function #y= -2 cos(4x-pi) -5#?

How do you use the sum or difference identities to find the exact value of #cot((113pi)/12)#?

- How do you find the value of #sec (315)#?
- A ladder 36m long rests against a wall, its foot being at a horizontal distance of 25m from the base of the wall. What angle does the ladder make with the ground?
- How do you simplify #csc^4(x)-cot^4(x)#?
- How do you evaluate #sin (225)#?