Question
If cosec (2A + B) = (2/√3) and cosec (A + B) = √2,
then determine the value of (4A - B).Solution
We have, cosec (2A + B) = (2/√3)
Or, cosec (2A + B) = cosec 60°
Or, 2A + B = 60° -------- (I)
And, cosec (A + B) = √2
Or, cosec (A + B) = cosec 45°
Or, A + B = 45° ------- (II)
On subtracting equation (II) from (I) ,
We have, (2A + B) - (A + B) = 60° - 45°
So, 'A' = 15°
Put the value of 'A' = 15° in equation (1) ,
So, 2(15°) + B = 60°
Or, 30° + B = 60°
So, 'B' = 30°
Therefore, required value = (4 X 15) - 30 = 30°
Statement: D > C > U < K > E > N < A
Conclusion:
I. D > N
II. D > A
Statements: G > L = V ≥ Z ≤ O = Q < K < N
Conclusions:
I. L ≥ Q
II. Z < NStatements:
L ≤ J ≤ C = N; W ≥ X > L
Conclusions:
I. J ≤ X
II. X ˃ W
Statements: L ≥ O = J ≥ I ≤ V; C = T ≤ J
Conclusion: I. C < L II. C = L
Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) to complete the given expression...
Statements: J @ K, K $ L, L & M, M % N
Conclusions: I. K @ MÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. N & J
...Statement: E ≤ F; E ≤ H; F = P; H < S
Conclusion:
I. S ≤ F
II. P ≥ S
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
Statement: X>W=Y>N≤P; W≥Z ;Z ≥P
I. X>Z
II. W≥P
Statements: M * T, D % T, D # K, K $ R
Conclusions: I. M * DÂ Â Â Â Â II. T # KÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II...
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