In this article, you will get the answer of Find the root of the equation 𝑥𝑒𝑥 = 𝑐𝑜𝑠𝑥 which lies in the interval (0, 1) by Regula-Falsi method correct to four decimal places of VTU Advanced calculus and numerical methods (21MAT21) solved Model question paper.
7.A] Find the root of the equation 𝑥𝑒𝑥 = 𝑐𝑜𝑠𝑥 which lies in the interval (0, 1) by Regula-Falsi method correct to four decimal places.
Answer:

How f(1)=2.177
It is 1.7184
cos(1) should be used in radian, set your calculator to radian (by default calculator will be in degree) and then solve it will show you 2.1779.
Thank you.
And, in this method all trigonometric functions should be used in radian.