Question
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If 2 cosec² 30° + x sin² 60° − 3/4 tan² 30° = 10, then value of x is
Correct Option:
C
Explanation
We have 2 cosec² 30° + x sin² 60° − 3/4 tan² 30° = 10. Using cosec² 30° = 4, sin² 60° = 3/4 and tan² 30° = 1/3, we get 8 + 3x/4 − 1/4 = 10. Therefore, 31 + 3x = 40, so x = 3.