# cosA - sinA + 1 / cosA + sinA - 1 = cosecA + cotA

This is the answer to the question

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thanx i did not get how to do

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can u explain briefly

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which ex question is this
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Lol
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Lel
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Its simple guys just divide the equation with sin
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4th line is not understand other good
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Evaluate, cos48-sin42 Ans: cos a=sin(90-48) = sin42 So, sin42-sin42=0

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Ask me any question of trigo I am IIT TOPPER
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Q.I f 7sin^2A+3cos^2A=4; then show that tanA=1/√3 HERE IS THE ANSWER:- Tried to solve similar questions on the spot in my exams without any practice!!!

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(cosA - sin A + 1)/(cosA + sinA - 1)
Divide numerator and denominator by sinA, we get
=(cosA/sinA - sinA/sinA + 1/sinA)/ (cosA/sinA + sinA/sinA - 1/sinA)
=(cotA - 1 + cosecA)/(cotA+1- cosecA)
= ​(cotA + cosecA- 1)/cotA + 1 - cosecA)​
We know that cosec2A - cot2A= 1
so we replace 1 by cosec2A - cot2A, we get
=[cotA + cosecA - (cosec2A - cot2A)]/(cotA - cosecA + 1)
=[(cotA + cosecA)- (cosecA - cotA)(cosecA+cotA)]/(cotA -cosecA + 1)
taking cosecA + cotA common, we get
=cosecA + cotA[1-(cosecA - cotA)]/(cotA - cosecA + 1)
=cosecA + cotA(1-cosecA + cotA)/(cotA - cosecA +1)
=cosecA + cotA  Proved         {1-cosecA + cotA cancelled out}
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(1+sin theta +cos theta /1-sin theta +cos Theta) 2 =1-cos /1 +cos
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I am a new member of this meritnation. .com Actually i want to ask a que Can anyone help me plzz!!! Prove that Question no. 19

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thank you
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CosA/1+sina + 1+sinA/cosA =2sinA Prove it
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Sorry to say but guys I can't even understand a single woemrd u all have wrote here I want answer in easy and simple language that's why I had logged in to Meritnation ...
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Can anyone ans me the 24th 3rd ques

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I suck.
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Here's a simple solution :)

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I f 7sin^2A+3cos^2A=4; then show that tanA=1/√3 For this question, there is a better answer 4sin^2a +3sin^2a +3cos^2 a =4 4 sin^2 a +3 =4 4 sin^2a =1 Sin^2a = 1/4 Sina = 1/2 a = 30
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