i want the solution of 17th que please
with all steps
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Answered by
1
i want the solution of 17th que please
with all steps
download the app doubtnut
but your answer is 289/324
Answered by
3
Step-by-step explanation:
QUESTION :
IF CotA = 17/18.
To find :
(1 + SinA)(1 - SinA)/(1 + CosA)(1 - CosA)
ANSWER:
=(1 + SinA)(1 - SinA) / (1 + CosA)(1 - CosA)
= 1 - Sin^2 A / 1 - Cos^2 A ------->
【 Since, (a + b)(a - b) = a^2 - b^2.(formula)】
= Cos^2 A / Sin^2 A. -------->
【 Since, (Sin^2 A + Cos^2 A = 1) {formula}】
= (CosA / SinA)^2
= (Cot)^2
Putting the value of given 'CotA', we get
= (17/18)^2
= 289/324.
SO, OUR REQUIRED ANSWER IS
= 289/324
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