Question
If cos²α + cos²β = 2, then the
value of tan⁴α + sin⁸β isSolution
cos²α + cos²β = 2 Put the value of α = β = 0⁰ cos² 0⁰ + cos² 0⁰ = 2 cos0⁰ + cos0⁰ = 2 1² + 1² = 2 2 = 2 ( it satisfies the equation) Now, tan⁴ α + sin⁵ β = tan⁴ 0⁰ + sin⁵0⁰ ⇒ 0 + 0 = 0
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: P > Q; Q ≥ W = X < Z
Conclusions: I. W < P
II. X ≤ Q
...Which of the following set of symbols should be placed in the blanks respectively (from right to left) in the given expression in order to make the expr...
Statements: C = D ≥ G ≥ H; K ≤ I < H; K < F < E
Conclusions:
I. C ≤ I
II. G > F
III. H ≤ D
Which of the following should be placed in the blank spaces respectively (in the same order from left to right) in order to complete the given expressio...
Statements: K @M, L #M, L$W, W%X
Conclusions:
I.K%L
II. M@W <...
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...
Statements: U = V ≤ W > Q ≥ N; B < Q; E = W
Conclusion: I. E > Q II. W > B
...Statements:
A < R ≤ Y = F; U > L = T; A < L = P > E
Conclusions:
I). U > E
II). T > Y
...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...
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