Question
If sin(A + B) = √3/2 and cos(A + 2B) = 0, where 0° < A,
B < 90°, then find the value of tan(2A).Solution
sin(A + B) = √3/2
Or, sin(A + B) = sin 60°
Or, A + B = 60° -------- (I)
cos(A + 2B) = 0
Or, cos(A + 2B) = cos 90°
Or, A + 2B = 90° -------- (II)
On solving 2 × equation I – equation II,
We get, 2A + 2B − A − 2B = 120° − 90°
Or, A = 30°
Required value = tan(2A) = tan(60°) = √3
Statement: P > Q; Q ≥ W = X < Z
Conclusions: I. W < P
II. X ≤ Q
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Conclusion: I. S ≤ T II. F > B
...Statement: H > G = M > S; G `>=` T > L; M `<=` F < U
Conclusion: I. F > S II. T < H
...In the following question the relationship between different elements is given in the statements followed by two conclusions I and II. Read the stateme...
Statements: U = V ≤ W > Q ≥ N; B < Q; E = W
Conclusion: I. E > Q II. W > B
...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 then...
Statements: M ≤ N; O < R; O = N; S ≥ Q; N > S
Conclusions:
(i) Q < M
(ii) N ≥ Q
(iii) M > R
...In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements: D ≤ R < E = F, W = B > A ≥ F
Conclusions:
I. E = W
II. D < B
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and ...
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