Math, asked by manu0047, 1 year ago

please the quetion9 ​

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Answered by aadi7571
0

Answer:

so, Answer is 813/2937

Step-by-step explanation:

3cosθ = 5sinθ

=> cosθ/sinθ = 5/3

=> tanθ = 3/5

=>cosθ = 5/√(25+9)

=>cosθ = 5/√34

(5sinθ - 2sec³θ + 2cosθ) / (5sinθ + 2sec³θ -  2cosθ)

= (5cosθ - 2sec³θ) / (cosθ + 2sec³θ)

= (5cosθ - 2/cos³θ) / (cosθ + 2/cos³θ)

= (5cos⁴θ - 2) / (cos⁴θ + 2)

= (5 * 625/1156 - 2) / (625/1156 + 2)

= (3125 - 2312) / (625 + 2312)

= 813/2937 Ans....


manu0047: sorry its the wrong ans
aadi7571: what is the right answer?
manu0047: answer is 271/979
aadi7571: if you divide numerator and denominator of my answer by 3, you will get your answer.
aadi7571: so, the both answer is same....
manu0047: ok
manu0047: thanks
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