Math, asked by abhinav3489, 6 months ago

Tan square thita plus cot square thita plus 2 equaled to sec square thita mines cosec squre thita

Answers

Answered by Anonymous

Answer:i think that u have made a little mistake in wrting the question.... the question should be right is this way

prove that tan2 theta+cot2 theta + 1 = 2 cosec2 theta* sec square theta?

Now by solving according to right ques:

Taking L.H.S:

as tan theta = sin theta divided by cos theta and cot theta is inverse of tan theta

by breaking tan square and cot square theta into their respective formulas

sin2 theta divided by cos2 theta + cos2 theta divided by sin2 theta

Now by taking L.C.M

sin2 theta + cos2 theta +1 1+1 as sin2 theta + cos2 theta= 1

----------------------------- = ---------------

(cos2 theta) (sin2 theta) (cos2 theta) ( sin2theta)

----- ---------

(cos2 theta) ( sin2teta)

as sec2theta = 1 and cosec2theta = 1

------ ----------

cos2theta sin2theta

so 2 ( 1 divided by cos2theta) = 2 sec square theta

and 2 ( 1 divided by sin2 theta ) = 2 cosec square theta

L.H.S = R.H.S

Hence prooved...

Step-by-step explanation:

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