Find all the values of sin 2Θ, cos 2Θ and tan 2Θ for the given interval: tan Θ= 2 (180°, 270°)

tan-2-180-270

#1

Find all the values of sin 2Θ, cos 2Θ and tan 2Θ for the given interval: tan Θ= 2 (180°, 270°)

Answer:

tan a=2

arc tan 2=a

a=63.43degrees, its positive istangent must lie on quadrant I and III

reference angle for quadrant III is 180+63.43=243.43 degrees angle.
2a=2(243.43)=486.86, coterminal angle 486.86-360=126.86 deg angle.

sin (126.86)=0.8

cos (126.86)=-0.6

tan (126.86)=-1.33