What are the solutions to 7tan^2theta-4tantheata=0?

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Answer 1 · 2018-03-29T12:38:11

Solution:In # -90^0< theta < 90^0 , theta =0^0,theta~~ 29.745^0 # ,

#7tan^2theta-4tan theta=0# or

#tantheta(7tan theta-4)=0#

#:. tantheta=0 or (7tan theta-4)=0 #

#:. tantheta=0 (1) or 7tan theta=4 (2)#

#:. tantheta=0 or tan theta=4/7 #

1)#tan0 =0 :. theta=0 # general solution: #theta=0+n*pi; n in Z #

In # -90^0< theta < 90^0 , theta =0 #

2) #tan theta=4/7:. theta= tan^-1(4/7)~~ 29.745^0#

general solution: #theta=(29.745+n*pi); n in Z #

In # -90^0< theta < 90^0 , theta ), theta~~ 29.745^0 #

Solution:

In # -90^0< theta < 90^0 , theta =0^0,theta~~ 29.745^0 # ,

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