Math, asked by lotus187, 9 months ago

pls.....answer these questions.....the best ans will be regarded as brainlist....

don't give the incomplete answers....pls...​

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Answered by vinayrayana
1

19) Answer:

given that Cosθ = 3/5

Now, consider a right angled triangle with a angle θ

(Observe the image at the bottom for reference)

where adjacent side is 3 units and hypotenuse is 5 units because cosθ = adj/hyp.

Find the third side using Pythagoras theorem

=> 5² - 3² = opp²

=> √(25 - 9) = opp

=> √16 = opp

=> opp = 4

now, find values of sinθ and tanθ from the triangle.

where sinθ = opp/hyp = 4/5

tanθ = opp/adj = 4/3

Now, substitute the value of sinθ & tanθ in (sinθ - 1/tanθ)/2tanθ

=> (4/5 - 3/4) / 2(4/3)

=> [(16 - 15)/20]/(8/3)

=> (1/20) × (3/8)

=> 3/160.

so, 3/160 is the required answer.

in the same way you can solve the remaining questions.

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