Question

tan 45 + 2 tan *2 60
​

Answer 1

Answer:

7

Step-by-step explanation:

tan 45 = 1

tan 60 = √3

tan45 + 2tan^2 60 =

1 + 2*(√3)^2

= 1 + 2* 3

= 1 + 6 = 7 Ans..

Answer 2

Complete Question: Find the value of $tan45+2tan^260$.

Answer:

The value of the trigonometric function $tan45+2tan^260$ is $7$.

Step-by-step explanation:

Step 1 of 2

Consider the given trigonometric function as follows:

$tan45+2tan^260$ . . . . . (1)

As we know,

The value of the trigonometric function $tan45$ is,

$tan45=1$

And the value of the trigonometric function $tan60$ is,

$tan60=\sqrt{3}$

On squaring both the sides, we have

$tan^260=(\sqrt{3} )^2$

On simplifying, we get

$tan^260=3$

Step 2 of 2

Calculate the value of the trigonometric function $tan45+2tan^260$.

Substitute the values $1$ for $tan45$ and $3$ for $tan^260$ in the trigonometric function (1) as follows:

$tan45+2tan^260=1+2(3)$

                          $=1+6$

$tan45+2tan^260=7$

Final Answer: The value of the trigonometric function $tan45+2tan^260$ is $7$.

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