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Caroline Adams

Caroline Adams

The University of Texas Health Science Center at San Antonio
Trigonometry

Trigonometry teacher | Verified Expert

With a passion for Trigonometry, my expertise is honed through a graduate program at The University of Texas Health Science Center at San Antonio. I find joy in unraveling the complexities of trigonometric concepts and thrive on helping students grasp the intricacies of the subject. Let's navigate the world of angles and ratios together, turning challenges into triumphs.

Questions

  • What is the reference angle and what quadrant does 300 degrees lie?
  • How can I find length of side of equilateral triangle given only altitude which is #12sqrt3#?
  • How do you determine the quadrant in which #pi/5# lies?
  • How do you sketch the angle #-(7pi)/4# in standard position?
  • Why is the unit circle and the trig functions defined on it useful, even when the hypotenuses of triangles in the problem are not 1?
  • What is Sine, Cosine and Tangent?
  • If cos^2 θ = (m^2 - 1)/3 and tan^3 (θ/2) = tan α, then prove that sin^(2/3) α + cos^(2/3) α = (2/m)^(2/3)?
  • If the angle #(29pi)/6# is in standard position, which quadrant does it terminate?
  • For a right triangle ABC, how do you find the sine, cosine and tangent of angle A?
  • How do you solve the right triangle ABC given A= 40 degrees, C= 70 degrees, a=20?
  • How do you find the values of #theta# given #costheta=1/2#?
  • How do you find the five remaining trigonometric function satisfying #csctheta=-3/2#, #costheta<0#?
  • How do you find the missing side of the right triangle with legs: a = 5, b = 12?
  • How do you find #sin(pi/12)# and #cos(pi/12)#?
  • How do you find the value of #sin300#?
  • How do you determine the exact value for #[cos(pi/6)][csc(pi/3)]+sin(pi/4)#?
  • How do you solve for the unknown lengths and angle measures of triangle ABC where angle C = 90 degrees, c = 21 and angle B = 49?
  • From a distance of 50 feet from the base of a building, the angle of elevation to the top of the building is 68°, how do you estimate the height of the building to the nearest foot?
  • How do you solve the right triangle given B=71degrees and b=24?
  • How do you find the six trigonometric functions of 300 degrees?