Question

tan40+2tan10=cotx then x=

Answer 1

Final Answer : 40° if x is acute angle.

Understanding :
1)
$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$
2)
$\tan( \frac{\pi}{2} - x) = \cot(x)$
3)
$\tan(x) \cot(x) = 1$

For suitable values of x.


Steps:
1) Put x = 40° and y = 10° in above tan(x+y) identity.
2) Then, solve the given trigonometric function.

For Calculation see pic.

Answer 2

Answer:

Step-by-step explanation:

Taking tan(x+y)=tan(40+10)