. If 5tanθ=4, find the value of ( 5sinθ-3cosθ)/(5sinθ+2cosθ)
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Answered by
19
Answer:
1/6
Step-by-step explanation:
5tanθ=4, then tanθ=4/5
WKT tanθ= sinθ / cosθ
Let k be any number , then..
sinθ= 4k and cosθ= 5k ( because tanθ = 4/5 )
(5sinθ - 3cosθ) / (5sinθ + 2cosθ)
= (5(4k)-3(5k)) / (5(4k) + 2(5k))
= 20k-15k / 20k +10k
= 5k / 30k
= 1/6
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Answer:
thanks for asking question. nsnn
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