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Emery Adkins
Trigonometry teacher | Experienced educator in USA
I specialize in Trigonometry, holding a degree from Dakota State University. My passion lies in helping students grasp the intricacies of trigonometric concepts, from angles and triangles to functions and identities. With a deep understanding of the subject and years of teaching experience, I offer personalized guidance to students, ensuring they develop strong foundations and excel in their studies. I am committed to fostering a supportive learning environment where students feel empowered to ask questions and explore challenging topics. Let's embark on a journey of mathematical discovery together!
Questions
How do you find the exact value of #arctan [tan (-(2pi)/3)]#?
A sailor was in a boat that was 250 feet from the bottom of a lighthouse. Looking at the top of the lighthouse, the angle of elevation is 60 degrees. How do you find the height of the lighthouse is the tangent of 60 degrees = 1.73?
How do you simplify #sqrt(1+tan^2x)#?
How do you find the period and amplitude of #y=3/2cos((pix)/2)#?
How do you find the general solutions for #sin theta - cos theta = 1#?
How do you simplify cos (5pi/12)+cos(2pi/3-pi/4)?
Can you prove #\sin 3a \cos a - \cos 3a \sin a = 2\sin a cosa#?
In terms of x and y only, how would you write the following expression? #sin(tan^-1 x+cos^-1 y)#
How do you simplify using the half angle formula #sin(22^o 30')#?
There are 3 angles to the triangle but how do you know which side uses Soh, Cah, and Toa to be found?
How do you use trigonometric substitution to write the algebraic expression #sqrt(64-16x^2)# as a trigonometric function of #theta# where #0<theta<pi/2# and #x=2costheta#?
What is the angle between #<1,5,7 ># and #< 6,8,1 >#?
What are the components of the vector between the origin and the polar coordinate #(8, (4pi)/3)#?
Given sin 40° ≈ 0.64, cos 40° ≈ 0.77, sin 15° ≈ 0.26, and cos 15° ≈ 0.97, which expression could be used to estimate sin 55°?
How do you prove #(tan^3x - 1) /( tanx - 1) = tan^2x + tanx + 1#?
What does #sec(arccos(2))+3cot(arc csc(-1))# equal?
What is #(5pi)/4 # radians in degrees?
How do you graph and list the amplitude, period, phase shift for #y=-3cos(3x)+3#?
How do we solve the trigonometric equation #cosx+4sinx-2=0#?
If #tan^2theta = 1 - a^2#, then #sectheta + tan^3thetacsctheta = (2 - a^2)^n#. What is the value of #n#?