Relating Trigonometric Functions - Page 3

Questions
  • How do you determine #sintheta# given #cottheta=-4/3, 270^circ<theta<360^circ#?
  • How do you find all six trigonometric function of #theta# if the point #(sqrt3,-1)# is on the terminal side of #theta#?
  • How do you sketch the angle #195^circ# and find its reference angle?
  • If #3Sec theta = x and 2Tan theta = y #, then how #x# and #y# are related ?
  • Given that t is in quadrant II and sin(t)=(7/25), how do you find the exact values of cos(t), tan(t), cot(t), sec(t), and csc(t)?
  • If #sinh x = 3/2#, how do you find exact values for cosh x and tanh x?
  • If #sin theta + cos theta =p#, what is #sin^2 theta + cos^4theta# in terms of #p# ?
  • If sec x=3 and tan x=2sqrt 2, what are the values of sin x and cos ^2 x?
  • How do you find Sin(ø) if Sec(ø)= -10/7, ø is in quadrant 3?
  • If cos(x) = (1/4), where x lies in quadrant 4, how do you find sin(x)?
  • Let θ be an angle in quadrant II such that sinθ= (1/4), how do you find the values of secθ and tanθ?
  • If sin A=2/3 cos B=3/4, angle A is in quadrant 2 and angle B is in quadrant 4. How do you evaluate sin(A-B) without find A and B?
  • How do you find the values of the trigonometric functions of θ from the information given cot θ = 1/4, sin θ < 0?
  • Given #Sec θ=9#, what are the other trig functions given tanθ<0?
  • How do you find the exact values of #costheta# and #tantheta# when #sintheta=-2/3#?
  • How do you find the other five trigonometric values given csc b = -6/5 and cot b > 0?
  • How do you use fundamental identities to find the values of the trigonometric values given tan(t) = -2.87 and csc(t) < 0?
  • How do you use fundamental identities to find the values of the trigonometric values given tan theta = -12/5 and cos theta> 0?
  • How do you use fundamental identities to find the values of the trigonometric values given θ be an angle in quadrant III, such that cot θ = (√11)/(5)?
  • How do you express 8sinxcosx in terms of single trig function?