Mobile TAN (mTAN) and Smart TAN are both methods of generating one-time passwords for online banking transactions. The main difference between the two is the method of receiving the TAN. With Mobile TAN, the one-time password is sent to the user's mobile phone via SMS. On the other hand, Smart TAN uses a dedicated device, often a small card reader or a smartphone app, to generate the TAN. While Mobile TAN relies on the user's mobile phone and network coverage, Smart TAN requires the use of a separate device, providing an extra layer of security. **

Yes, you can wash off a tan to some extent. Tans from self-tanning products or bronzers can be washed off with soap and water. However, natural tans from sun exposure penetrate deeper into the skin and cannot be washed off. Over time, natural tans will fade as the skin naturally sheds and renews itself. **

No, a naturally acquired tan does not wash off. When you spend time in the sun, your skin produces melanin, which gives your skin a darker color. This tan will fade over time as your skin naturally sheds its outer layers, but it does not wash off like a temporary self-tanner or spray tan. However, it's important to protect your skin from sun damage by using sunscreen and limiting your time in the sun. **

The task is to prove the trigonometric identity that tan(x1+x2) = (tan(x1) + tan(x2)) / (1 - tan(x1)tan(x2)). This involves using the sum of angles formula for tangent and manipulating the expression to show that the left-hand side is equal to the right-hand side. By simplifying both sides of the equation and showing that they are equal, we can confirm that the identity is correct. **

To prove that tan(x1+x2) = (tan(x1) + tan(x2)) / (1 - tan(x1)tan(x2)) is correct, one would need to use trigonometric identities such as the sum-to-product formula and the tangent addition formula. By manipulating the expressions using these identities, one can show that both sides of the equation are equivalent. It is important to carefully follow the steps of the proof and ensure that each manipulation is mathematically sound in order to confirm the correctness of the statement. **

To show that the equation tan(x1+x2) = (tan(x1) + tan(x2)) / (1 - tan(x1)tan(x2)) is correct, we can start by using the sum formula for tangent, which states that tan(x1+x2) = (tan(x1) + tan(x2)) / (1 - tan(x1)tan(x2)). We can then substitute the values of tan(x1) and tan(x2) into the equation and simplify both sides to see if they are equal. Finally, we can verify the result by checking if both sides of the equation are equal for different values of x1 and x2. **

To wash off a tan, you can use exfoliating products such as scrubs or loofahs to help remove the top layer of skin where the tan is located. You can also try soaking in a warm bath to help soften the skin and make it easier to scrub off the tan. Additionally, using products with ingredients like lemon juice, baking soda, or hydrogen peroxide can help lighten and fade the tan. Remember to moisturize your skin afterwards to keep it hydrated and healthy. **

To wash off a tan, one can use exfoliating scrubs or loofahs to help remove the top layer of tanned skin. Using a gentle exfoliating cleanser can also help to gradually fade the tan. Additionally, soaking in a warm bath with baking soda or lemon juice can help to lighten the tan. It's important to moisturize the skin afterwards to keep it hydrated and prevent further tanning. **