Question

tan 60° × tan _____=1​

Answer 1

Answer:

30°

Step-by-step explanation:

see the image hope it helps

Answer 2

tan 60° × tan 30° = 1

Given :

tan 60° × tan _____= 1

To find :

To fill in the blank

Solution :

Step 1 of 2 :

Form the equation to fill in the blank

Let , tan 60° × tan x = 1

Step 2 of 2 :

Fill in the blank

$\displaystyle \sf tan \: {60}^{ \circ} \times tan \: x = 1$

$\displaystyle \sf{ \implies } \sqrt{3} \times tan \: x = 1$

$\displaystyle \sf{ \implies } tan \: x = \frac{1}{ \sqrt{3} }$

$\displaystyle \sf{ \implies } tan \: x = tan \: {30}^{ \circ}$

$\displaystyle \sf{ \implies } x = {30}^{ \circ}$

∴ tan 60° × tan 30° = 1

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Find sin 22 cos 78 +sin 78 cos 22

https://brainly.in/question/8940320

2. Exact value of (sin30°)(tan45°)+(tan30°)(sin60°)=

https://brainly.in/question/8679351

#SPJ2