Question

Ravi says the value of tan0 degrees.tan1 degree.tan2 degree.......tan 89 degree is zero. Do you agree with Ravi ?give reason​

Answer 1

Yes

Explanation:

Given

`tan(0).tan(1).tan(2).......tan(89) = 0`

Required

True or false? With reason

The expression is true and the reason is as follows.

In trigonometry:

`tan(0) = 0`

So:

`tan(0).tan(1).tan(2).......tan(89) = 0`

is equivalent to:

`0 * [tan(1).tan(2).......tan(89)] = 0`

When 0 is multiplied to an expression, the result is 0

So, the above expression becomes:

`0 = 0`

Since both sides of the equation are equal, then Ravi is correct