If sec2x – 3secx + 2 = 0, then the value of x (0 < x < 90o) is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 60o
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Understanding |
Application |
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Solving quadratic equation using factorization method. |
sec2 x - 3 sec x+ 2=0 sec2 x - 2sec x – sec x+ 2= 0 sec x (sec x - 2) -1(sec x - 2)= 0 (sec x - 2)(sec x - 1)= 0 sec x= 2, 1 x= 60°,0° But, 0° Therefore, x= 60° |