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Charles Autterson

Charles Autterson

Baker College
Trigonometry

Trigonometry teacher | Tutor for 5 years

With a passion for Trigonometry, my journey led me to specialize in this dynamic field at Baker College. Armed with a profound understanding of angles, ratios, and functions, I'm here to guide you through the complexities of Trigonometry. Let's unravel the mysteries together, turning challenges into triumphs. Your success is my mission.

Questions

  • The number of solution of the equation 3^(sin2x+2cos2x)+ 3^(1-sin2x+2sin2x)=28 in [0,2π]?
  • Could you please solve me this equation: #1 + sin^3 (x) + cos^3 (x) = 3/2 sin (2x)#?
  • How do you prove #sin y cot y csc^2 y = cos y + cosy cot^2y?#
  • How do I simplify the expression (tanˆ2Ø -1)cot Ø / sin Ø - cosØ to a sum of two trigonometric functions?
  • What is #cos^2theta# in terms of #sintheta#?
  • How do you verify the identity #(1+tantheta)/(sintheta+costheta)=sectheta#?
  • How do you solve #6sin^2x + sinx -1 = 0#?
  • How do you solve #cos (x/2 )- cosx=0# if #0°<=x<360#?
  • What is #sin^2A/Cos^2A# equivalent to?
  • How do you prove #sin^-1x+cos^-1x=pi/2#?
  • How do you find the values of the other five trigonometric functions of the acute angle A with #sec A=7/3#?
  • How do you find the other sides of a right triangle if the hypotenuse = 5 and the other sides =x, and the other two sides are also equilateral?
  • How do you evaluate #sin B = 0.4848#?
  • The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?
  • What is the altitude of the air balloon to the nearest 100ft given the information below ?
  • In a 45-45-90 triangle the hypotenuse is 7, what are the lengths of the other legs?
  • How do you find length of sides of an equilateral triangle inscribed in a circle with a radius of 36?
  • If #theta# is an angle in standard position on a rectangular coordinate system and the point P(sqrt 7,-3) lies on its terminal side, find do you find the exact value of #cos(theta)#?
  • How do you find the exact values #cos (pi/4)# using the special triangles?
  • How do you use special angles to find the ratios of csc 315 degrees?