Question

Tg(arcsin√7/4) пожалуйста с объснением

Answer 1

Используемся тождество:$tg(\arcsin \alpha )= \frac{ \alpha }{ \sqrt{1- \alpha ^2} }$

$\frac{ \frac{ \sqrt{7} }{4} }{ \sqrt{1-(\frac{ \sqrt{7} }{4})^2} } =\frac{ \sqrt{7} }{3}$

Answer 2

Calculation of Tg(arcsin√7/4)

To calculate Tg(arcsin√7/4), we need to first find the value of arcsin(√7/4) and then take the tangent of that value.

1. Finding the value of arcsin(√7/4): - The arcsin function is the inverse of the sine function. It returns the angle whose sine is a given value. - In this case, we need to find the angle whose sine is √7/4. - To find this angle, we can use a scientific calculator or a trigonometric table. - Unfortunately, I couldn't find the exact value of arcsin(√7/4) in the search results provided.

2. Taking the tangent of arcsin(√7/4): - Once we have the value of arcsin(√7/4), we can take the tangent of that angle. - The tangent function (Tg) is defined as the ratio of the sine of an angle to its cosine. - Therefore, Tg(arcsin(√7/4)) can be calculated as Tg(arcsin(√7/4)) = sin(arcsin(√7/4)) / cos(arcsin(√7/4)). - However, since we don't have the exact value of arcsin(√7/4), we cannot calculate Tg(arcsin(√7/4)).

In conclusion, without the exact value of arcsin(√7/4), we cannot calculate Tg(arcsin(√7/4)). If you have the exact value of arcsin(√7/4), I can help you further with the calculation.