Question

tan 10° +tan 35° +tan 10°.tan 35º = 1

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Answer 1

Step-by-step explanation:

tan a+b =tan a +tan b/1-tan a.tan b

there fore ,tan 10 +tan 35=1-tan 10.tan35

tan10 +tan 35/1-tan10.tan35=tan (10 +35)

there fore , tan (10 +35)=tan 45=1

Answer 2

Answer:

$\large\boxed{tan 45^{\circ}=1}}$

Step-by-step explanation:

To solve this problem, first you have to use tan formula from left to right numbers. You can also used order of operations stands for (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) the numbers from left to right.

Given:

tan10+tan35+tan10+tan35

Solutions:

Use Tan formula.

$\large\boxed{\textnormal{Tan Formula}}$

$\displaystyle \frac{tan\quad a\quad+\quad tan\quad b}{1-tan\quad a \quad tan\quad b}$

First, you have to add the numbers from left to right.

$\displaystyle (\tan35^{\circ}+\tan10)^{\circ}=\boxed{\tan45^{\circ}=1}$

In conclusion, the correct answer is tan45°=1.