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

Respuesta :

Answer:

Yes

Step-by-step explanation:

Given

[tex]tan(0).tan(1).tan(2).......tan(89) = 0[/tex]

Required

True or false? With reason

The expression is true and the reason is as follows.

In trigonometry:

[tex]tan(0) = 0[/tex]

So:

[tex]tan(0).tan(1).tan(2).......tan(89) = 0[/tex]

is equivalent to:

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

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

So, the above expression becomes:

[tex]0 = 0[/tex]

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

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