Question

Which of the following is not same as tan "t"
a) -tan ( -t )
b) tan ( t+2π )
c) tan ( t+π )
d) tan ( t+ π/2 )
Please answer it..... with answer in detail...

Answer 1

Answer:

the correct answer is C.............

Answer 2

Answer:

Using the given options we can find which is not same as $tan(t)$.

Final Answer: Option d: $tan ( t+ \frac{\pi}{2} )$ is is not same as $tan(t)$.

Step-by-step explanation:

First we take the option a:

In trigonometric formula, $-tan ( -\theta ) = tan \theta$. Now compare this formula with option a.

                    ∴  $-tan ( -t ) = tan (t)$

Option a is same as $tan(t)$

Next consider option b:

In trigonometric formula, $tan ( \theta+2\pi ) = tan \theta$. Now compare this formula with option b. Here $2\pi$ is equal to $360\textdegree$.

                  ∴ $tan ( t+2\pi ) = tan (t)$

Option b also same as $tan(t)$

Now we consider option c:

In trigonometric formula, $tan ( \theta+\pi ) = tan \theta$. Now compare this formula with option c. Here $\pi$ is equal to $180\textdegree$.

                   ∴ $tan ( t+\pi ) = tan (t)$

Option c also same as $tan(t)$

Finally we take away option d:

In trigonometric formula, $tan ( \theta+\frac{\pi}{2} ) = -cot \theta$. Now compare this formula with option d. Here $\pi$ is equal to $90\textdegree$.

                  ∴  $tan ( t+\frac{\pi}{2} ) = -cot (t)$

Option d is  not also same as $tan(t)$