AP EAMCET · Maths · Inverse Trigonometric Functions
For how many distinct values of , the equation holds?
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given, sin2cos-1cot2tan-1x=0 Let tan-1x=y⇒x=tany Then, sin2cos-1cot2y=0 ⇒sin2cos-11-tan2y2tany=0 ⇒sin2cos-11-x22x=0 ⇒sincos-121-x22x2-1=0 ⇒sinsin-11-21-x22x2-12=0 ⇒1-21-x22x2-12=0 ⇒1-21-x22x2-12=0 ⇒21-x22x2-12=1…
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