MrPineapple277 MrPineapple277
  • 14-02-2019
  • Mathematics
contestada

Give an example of a real number t for which tan t is negative and sin t is positive

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 14-02-2019

Hello from MrBillDoesMath!

Answer:

t = 135 is on example

Discussion:

Consider t = 135 (degrees)

sin(t) =   + Sqrt (2)/2

cos(t) =  - Sqrt(2)/2

tan(t) =  -1

Visualization: 135 is in second quadrant where sin ("y component') is positive and cos ("x component") is negative. This implies that ratio ( or tan(t) ) is also negative.

Thank you,

MrB

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