Question

If sin????=3/5, find the value of cos????-1/tan????/2cot????

Answer 1

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Answer 2

cosθ-1/tanθ/2cotθ = -6.4

Step-by-step explanation:

Given: sinθ = 3/5

To find: value of cosθ-1/tanθ/2cotθ

Solution:  

  sinθ = 3/5 = Opposite / Hypotenuse.

So Adjacent = √(5² - 3² = √(25 - 9) = √16 = 4

 Now sinθ = 3/5

Cosθ = 4/5

Tanθ = 3/4

Cotθ = 4/3

Now cosθ-1/tanθ/2cotθ = [(Cosθ-1) /tanθ /2Cotθ = [(4/5 - 1) /(3/4) / (2*4/3)

 = (-1/5 * 4/3) / 8/3

 = -4/5*3 /8/3

 = -4 * 8 / 5

 = - 32/5

 = -6.4

Value of cosθ-1/tanθ/2cotθ = -6.4. This value will differ depending on how the expression is separated using parenthesis.