Question

If co40- cot 50=kcot80 then the value of k

Answer 1

The value of k is 2 when the trigonometric expression is cot40° - cot50° = kcot80° here k is the constant.

Given that,

The trigonometric expression is cot40° - cot50° = kcot80°

We have to find what is the value of k.

We know that,

Take the trigonometric expression

cot40° - cot50° = kcot80°

Here, the values of the angles are

cot40° = 1.1917

cot50° = 0.839

cot80° = 0.1763

So, by substituting the values in the trigonometric expression

1.1917 - 0.839 = k(0.1763)

By subtracting 1.1917 - 0.839

0.3527 = k(0.1763)

Now, transferring 0.1763 to LHS

k = 2

Therefore, The value of k is 2.

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Answer 2

Answer:

Step-by-step explanation: