Question

slove approximately tan(pi/4+ theta) =1.001​

Answer 1

Radian=π/180*degree measure

So we get degree measure =15 degree

Now by using the formula,

Tan(A-B)=TanA-TanB/1+TanATanB

We get the value equal to 2-√3

Answer 2

Given,

$\[\tan \left( {\frac{\pi }{4} + \theta } \right) = 1.001\]$

Solution,

Calculate the value of $\[\theta \]$.

$\[tan\left( {\frac{\pi }{4} + \theta } \right) = 1.001\]$

Consider $\[1.001 \approx 1\]$

$\[ \Rightarrow \tan \left( {\frac{\pi }{4} + \theta } \right) = \tan \frac{\pi }{4}\]$

$\[ \Rightarrow \left( {\frac{\pi }{4} + \theta } \right) = \frac{\pi }{4}\]$

$\[ \Rightarrow \theta = 0\]$

Hence the value of $\[\theta \]$ is $\[0^\circ \]$ for the above expression.