If A lies in the first quadrant and 6 tan A = 5, then the value of 8 sin A−4 cos A / cos A+2 sin A is :
6 tan A = 5 tan A = 5 / 6 8 sin A−4 cos A / cos A+2 sin A = cosA(8 tan A−4) / cos A(1+2 tan A) = 8 tan A−4 / 1+2 tan A Put the value of tan θ, = (8 × 5 / 6 −4) / (1 + 2 × 5/6) = (20/3 – 4) / (1 + 5/3) = (8/3) /(8/3) = 1
In which of the following expressions will the expression ‘ Q > B ’ be definitely true?
Statement: P ≤ W < O = D ≥ G > T
Conclusions:
I. P ≤ T
II. W < D
Statements: U ≥ P ≥ I ≤ X; Y ≥ P < V; I ≤ W
Conclusions: I. U ≥ W II. Y ≥ I
...In which of the following expressions will the expression ‘S > Y’ and ‘R > Y be definitely true?
Statements: F > T = O > E < P ≤ X > H < M
Conclusion I: F ≥ E
II: X > E
Which of the following would replace @ and & respectively in the following expression such that ‘O > A’ is definitely true?
U = O > W # B ≤...
Which of the following symbols should replace the sign (@) respectively in the given expression in order to make the expression Y ≥ Z and D > K defini...
Statements: J < K = L ≥ M ≥ P; F ≥ K < G
Conclusion I. J < G II.F ≥ P
...Which of the following expressions will be true if the expression Q ≥ M = R > F = E ≤ X is definitely true?
Statements: P ≥ S ≥ C ≤ U; N ≥ S < G ; C ≤ M
Conclusion I. P ≥ N II.M < S
...