How to use the point ( - 3 , - 4 ) on the terminal side of the angle to evaluate the six trigonometric functions?

Question

How to use the point             (      -      3      ,      -      4      )       on the terminal side of the angle to evaluate the six trigonometric functions?

rambandi69v4 · Accepted Answer

The following is what we may infer from the given point.The third quadrant contains the point. The hypotenuse of the right-angled triangle that results is five lengths long.Angles in the third quadrant are from 180° to 270°.We will refer to the sides as a y-component, an x-component, and the radius instead of as opposed, adjacent, and hypotenuse. The following are the trig ratios.            sin      θ        =          o      h        =          y      r        =    -          4      5                                       ⇒          sin      θ       is negative            cos      θ        =          a      h        =          x      r        =    -          3      5                                       ⇒          cos      θ       is negative            tan      θ        =          o      a        =          y      x        =          4      3                                       ⇒          tan      θ       is positive            cot      θ        =          a      o        =          x      y        =          3      4                                       ⇒          tan      θ       is positive            sec      θ        =          h      a        =          r      x        =          5              -        3                                             ⇒          cot      θ       is negative            cosec               θ    =          h      o        =          r      y        =          5              -        4                                           ⇒                 cosec               θ   is negativeIn this case       θ    =    180    °    +    53.1    =    233.1    °

How to use the point (-3,-4) on the terminal side of the angle to evaluate the six trigonometric functions?

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