Question
What is the average of all the prime numbers which are
less than 35?Solution
Prime numbers which come before 35 are = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 and 31 So, sum = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 = 160 Required average = 160/11
If 8sin²x + 4cos²x − 6 = 0, then find the value of sinx, given that 0° < x < 90°.
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If cos 2A = 3, then find cos A
cot 13Ëš Â
 cot 14˚  ...- Find the maximum value of (11sin A + 60cos A).
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sin2 4˚ + sin2 6˚ + sin2 8˚ + sin2 10˚ + ……… + sin2 86˚ =?
Find the exact value of cos120°