Question

Tan theta=1

Can theta=-3pi/4?
How?

Answer 1

Tanθ=sinθ/cosθ
sin(-3π/4)=-(1/2)√2
cos(-3π/4)=-(1/2)√2
=>
Tan(-3π/4)=sin(-3π/4)/cos(-3π/4)
=[-(1/2)√2]/[-(1/2)√2]
=1

Answer 2

Thanks but i dont want tan theta= 1 to prove i want the value of theta is -3pi/4

Answer 3

Kindly elaborate your question:
Do you want to find tan(-3π/4), or do you want to prove tan(-3π/4)=1, or solve tan(x)=1 ???

Answer 4

yes

-3π/4 radians = -135°
-135° is in quadrant III by the CAST rule.
-135° is in the same position as 225° or (180° + 45°) .
the equivalent angle in standard position is 45°

so tan (-135°) = tan (-3π/4) = 1

Answer 5

Thanku reiny