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Violet Anderson

Violet Anderson

Washington and Lee University
Trigonometry

Trigonometry teacher | Experienced educator in USA

I hold a degree in Trigonometry from Washington and Lee University. With a passion for mathematics, I bring expertise in trigonometric functions, identities, and problem-solving techniques. As a dedicated educator, I strive to foster a deep understanding of mathematical concepts in my students, empowering them to excel in their studies. With a commitment to clarity and patience, I guide learners through challenging topics, equipping them with the skills and confidence to succeed. Let's explore the fascinating world of trigonometry together!

Questions

  • What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 8 and 14?
  • If sec x=3 and tan x=2sqrt 2, what are the values of sin x and cos ^2 x?
  • Given: cos(x/4)=a and cos(y/3)+b, how do you find cos(x/4+y/3) in terms of a and b?
  • How do you determine the amplitude, period and the phase shift period of #y=-4sin(6pix+3pi)#?
  • Given sin x = 4/7 and #cos x = -sqrt33/7#, how do you find cot x?
  • Which quadrant does the terminal side of 530 degrees lie?
  • Given the point #P(-1/2, sqrt3/2)#, how do you find #sintheta# and #costheta#?
  • How do you prove that #sectheta/tantheta=sintheta# is not an identity by showing a counterexample?
  • What does tan pi/2 equal?
  • What does csc 0 equal?
  • How do you determine #tantheta# given #costheta=1/8, (3pi)/2<theta<2pi#?
  • How do you find the exact value of #sin(alpha-beta)# if #sinalpha=-5/13# and #sinbeta=1/6# if the terminal side of #alpha# lies in QIII and the terminal side of #beta# lies in QI?
  • How do you find the 6 trigonometric functions for 225 degrees?
  • How do you evaluate #sin(-(17pi)/6)#?
  • How do I evaluate #tan(pi/3)# without using a calculator?
  • How do you evaluate the expression #sec3#?
  • The point P on the unit circle that corresponds to a real number t is [5/7, 2 square root 6/7] how do you find csc(t)?
  • How do you sketch the angle #285^circ# and find its reference angle?
  • The point (-12,-5) is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?
  • Given #sintheta>0# and #costheta>0#, which quadrant does #theta# lie?