find all values of theta. satisfying theta less than pie and tansquare theta + cot. square theta=2
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Answer:
tantheta+cottheta)(tantheta-cottheta)=
2*(tantheta - 1/tantheta) =
2*(tan squared theta -1)/tantheta =
-2*(1-tansquaredtheta)/tantheta=
-2*2*tantheta/(tantheta*tan2theta)=
-4/tan2theta =
-4/tan(2*pi/4 + 2*n*pi) =
-4/tan(pi/2 + 2*n*pi) = -4/(infinity) = 0
Or simply, tan theta =1, as found earlier.
So, tan squared theta - cot squared theta =
(tan theta) square - 1/(tan theta) square =
(1)square - (1)square = 1–1= 0.
Step-by-step explanation:
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