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question mark

what are the solution of equation 2sinx + cosx = 3
a. only one solution
​b. no solution
​c. infinetiy many solution
​d. finitly many solution

Aditi , 7 Years ago
Grade 12th pass
anser 1 Answers
Soumendu Majumdar

Last Activity: 7 Years ago

Dear Student,
-1\leq sin x\leq 1   and    -1\leq cos x\leq 1
so
2sinx + cos x=3 is only possible if both sin x & cos x are equal to 1.
But sin x & cos x cannot be equal to 1 at the same time
so option (b) is correct.
Hope it helps!
 
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