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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°
Which one the following symbols should replace the question mark in the given expression, in order to make the expressions L ≤ I as well as N > K ...
Statements: A > B ≤ D; G < C ≤ B; F < C ≤ E
Conclusions:
I. F < D
II. E ≤ B
III. A > G
Statements: O > P ≥ S = V > N; O ≤ G < D; N < Y > C
Conclusions: I. G > V II. C ≤ O
Statements: L ≥ R, U ≤ N, N < M > I
Conclusion:
I. R > I
II. M ≥ U
Statement: A = B ≥ C ≥ D < E < F ≥ G; D > H
Conclusion:
I. H ≥ G
II. A > H
...Statements:
M > N = W; J < P = N; Y > P
Conclusions:
I. Y > W
II. M < Y
III. J > M
In the following question, the statement is followed by two conclusions. Which of the two conclusions is/are true?
Statement: N < P > I < Q > S =...
Statements: P ≤ Q < R; P ≥ S < T; S > U ≥ V
Conclusions:
I. S ≤ Q
II. T ≥ V
III. S > R
Statements:
A ≤ B > E ≥ F; M > E < N
Conclusions:
I. N > F
II. B > F
