Question
If 7sin²θ + 3cos²θ = 4, then find
the value of θ?Solution
7sin²θ + 3cos²θ = 4sin²θ + 3sin²θ+3cos²θ = 4 4sin²θ + 3(sin²θ + cos²θ) = 4 4sin²θ + 3 (1) = 4 4sin²θ = 4 - 3 = 1 4sin²θ = 1 sin²θ = 1/4 → sinθ = 1/2 sin30° = 1/2 Hence, θ = 30°
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 th...
Statement: L = C; E ≥ M ≥ U ≥ C
Conclusion:
I. E > L
II. E = L
Which of the following symbols should replace the question mark in the given statement in order to make conclusion 'L > G' as well as 'B > X' definitel...
In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are true and then g...
Statement: J > K; N < O ≤ L; N ≥ M > K
Conclusion:
I. N ≥ J
II. K < L
Statements:
V < E ≤ I = O; E ≥ J ≥ S ≥ W; Z ≤ M ≤ W
Conclusions:
I) O > Z
II) O = Z
...Statements: G@B; W#Z; B%W
Conclusions:
I) G@Z
II) Z@B
Statements:
S = K ≥ A ≥ X; Y < K = E ≤ U < Z
Conclusion:
I. X = E
II. K > X
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...
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...
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