Relating Trigonometric Functions - Page 6

Questions
  • What is the value of #costheta# if #sintheta=1/2# and #theta# is in #Q2#?
  • If # tanA+secA=2 # then find #cosA #?
  • If tanx= -1/3, cos>0, then how do you find tan2x?
  • How do you express the value as a trigonometric function of an angle in Quadrant I given #cos((7pi)/3)#?
  • How do you express the value as a trigonometric function of an angle in Quadrant I given #csc(-330^circ)#?
  • How do you prove that #sinthetacostheta=cottheta# is not an identity by showing a counterexample?
  • How do you prove that #sectheta/tantheta=sintheta# is not an identity by showing a counterexample?
  • How do you prove that #sinx+cosx=1# is not an identity by showing a counterexample?
  • How do you find the exact values of #costheta# and #sintheta# when #tantheta=1#?
  • How do you prove that #tan^2A+cot^2A=1# is not an identity by showing a counterexample?
  • How do you find the exact values of #costheta# and #sintheta# when #tantheta=5/12#?
  • If sinx = -3/5, x is in quadrant III, then how do you find tan2x?
  • How do you determine #cottheta# given #tantheta=sqrt3/4, 0<theta<pi/2#?
  • How do you determine #costheta# given #sintheta=1/4,0<theta<pi/2#?
  • How do you determine #sintheta# given #costheta=-2/3,90^circ<theta<180^circ#?
  • How do you determine #cottheta# given #csctheta=sqrt11/3,pi/2<theta<pi#?
  • How do you determine #tantheta# given #sectheta=-5/4, 90^circ<theta<180^circ#?
  • How do you determine #tantheta# given #sintheta=-1/3, 180^circ<theta<270^circ#?
  • How do you determine #costheta# given #tantheta=2/3, pi<theta<(3pi)/2#?
  • How do you find the exact value of 6 trig function given a point #(-sqrt5, 2)#?