Mathematics: An equation that has the form y = k x , where k is the slope of the line; in slope-intercept form, the equation has the form y = m x

Value of tan 75° = 3.7317Step-by-step explanation:To find its value we use the following formula,we also use value of tan 30° = 1/√3 and tan 45° = 1 and √3 =1.7321 Therefore, Value of tan 75° = 3.7317...

An equation that has the form y = k x , where k

Ответ:

javink18

10.04.2020

Mathematics

Value of tan 75° = 3.7317

Step-by-step explanation:

To find its value we use the following formula,

$tan(a+b)=\frac{tan\,a+tan\,b}{1-tan\,a\:tan\b}$

we also use value of tan 30° = 1/√3 and tan 45° = 1 and √3 =1.7321

$tan\,75=tan\,(45+30)=\frac{tan\,45+tan\,30}{1-tan\,45\:tan\,30}$

$=\frac{1+\frac{1}{\sqrt{3}}}{1-1\times\frac{1}{\sqrt{3}}}$

$=\frac{\frac{\sqrt{3}+1}{\sqrt{3}}}{\frac{\sqrt{3}-1}{\sqrt{3}}}$

$=\frac{\sqrt{3}+1}{\sqrt{3}-1}$

$=\frac{1.7321+1}{1.7321-1}$

$=\frac{2.7321}{0.7321}$

=3.7317

Therefore, Value of tan 75° = 3.7317

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An equation that has the form y
=
k
x
, where
k
is the slope of the line; in slope-intercept form, the equation has the form
y
=
m
x

Ответ:

Ответ:

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