Trigonometry
Number of integral α with no solution
MMTS_Full_Test_21
Grade 12
Question:
The number of integral values of $\alpha$ for which the equation $\dfrac{16}{\tan x}+\dfrac{4}{4-\tan x}=\alpha$ does not have any solution is
Step-by-Step Solution
Key Concept: Let $t=\tan x$. Analyse $f(t)=16/t+4/(4-t)$: find critical points and range. The equation has no solution for $\alpha$ in the gap of the range.
7 integral values.
Correct Answer: 7