# 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. The angle between sides A and B is #(5pi)/12#. If side C has a length of #9 # and the angle between sides B and C is #pi/12#, what is the length of side A?

How do you simplify #tan(x) cos(x)#?

Given a right triangle #triangle ABC# with #C=90^circ#, if b=10, c=26, how do you find a?

How do you find the two square roots of #-2+2sqrt3i#?

How do you divide #( -i-9) / (i-2)# in trigonometric form?

How do you verify #sec^2 x - cot^2 ( pi/2-x) =1#?

How do you use double angle formulas to calculate cos 2x and sin 2x without finding x if #cos x = 3/5# and x is in the first quadrant?

How do you verify the identity #sin(pi/2 + x) = cosx#?

How do you find the solution for #cosx - 1/cosx = 5/6# for [-180,180]?

Complete the ordered pair? The graph of y = sin(2x - 1) passes through the point (___, 0).

How do you prove (tanx-cotx)/(sinxcosx)=sec^2(x)-csc^2(x)?

A triangle has sides A, B, and C. If the angle between sides A and B is #(pi)/4#, the angle between sides B and C is #(2pi)/3#, and the length of side B is 5, what is the area of the triangle?

How do you convert #3=(x+4y)^2+3x# into polar form?

What is the period of #f(theta) = tan ( ( 3 theta)/4 )- cos ( ( theta)/ 5 ) #?

What is the distance between #(2 ,(3 pi)/4 )# and #(2 , (13 pi )/8 )#?

How do I find the unknowns in the graph below and I need to quote my answers to 4 significant figures?

In the triangle ABC AB=12cm angle BAC=60 and ACB is 45 find the exact length of BC?

How do you prove #sec^2(x)-tan^2(x)=1#?

How do you solve (cscx-cotx)^4(cscx+cotx)^4=1?

From a point 450 ft from the base of a building, the angles of elevation of the top and bottom of a flagpole on top of the building have measures 60° and 55°. How do you find the height of the flagpole to two significant digits?