Question
Find the least common multiple of (18/27), (24/36), and
(30/45).Solution
(18/27) = (2/3), (24/36) = (2/3), (30/45) = (2/3)
LCM of numerators = LCM(2, 2, 2) = 2
HCF of denominators = HCF(3, 3, 3) = 3
Required LCM = 2 / 3
If cos θ + sec θ = √5, then the value of cos³ θ+ sec³ θ is:
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sin A cos B + cos A sin B – tan A tan B + sec 2
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What is the simplified value of the given expression?
2(sin² 15° + sin² 75°) + 4sin 30° - (2sec 60° + cot 45°)
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If sin(x-y) = 1  and cos(x+y) = 1 /√2  then what is measure of angle x.
