Math, asked by deepkaurarshii, 7 months ago

find all values of theta. satisfying theta less than pie and tansquare theta + cot. square theta=2
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Answers

Answered by Anendramishra3112008
0

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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