Question

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

Answer 1

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