Question
sin2 7Ëš + sin2 9Ëš +
sin2 11Ëš + sin2 12Ëš + ……… + sin2 83Ëš = ?Solution
sin 2 7Ëš + sin 2 9Ëš + sin 2 11Ëš + sin 2 12Ëš + ……… + sin 2 83Ëš = (sin2 7Ëš + sin2 83Ëš)+(sin2 9Ëš + sin2 81Ëš) + .…. + (sin2 43Ëš + sin2 47Ëš) + sin2 45Ëš = (sin2 7Ëš + cos2 7Ëš) + (sin2 9Ëš + cos2 9Ëš) + .…. + (sin2 43Ëš + cos2 43Ëš) + sin2 45Ëš {As sin (90Ëš - θ) = cos θ} = (1)+(1) + .…. upto 19 times + sin2 45Ëš { As sin 2 θ + cos 2 θ= 1} = 19 + sin2 45Ëš {As there are 19 odd numbers from 7 to 43}. = 19 + (1/√2)2 {As sin 45Ëš =1/√2 } = 19 + 0.5 = 19.5 ` ` ` ` ` ` ` ` ` ` ` `
Answer the questions based on the information given below.
A & B means A is greater than B
A * B means A is not greater than B
A ...
Statements: M % N, N & A, A @ B, B # C
Conclusions: I. C & AÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. M # B
...Statements: R > S > T ≥ U; Q ≥ R; W = V < U
Conclusions:
I. S > Q
II. W < T
III. Q > W
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the...
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 ...
Statements:
N < P ≤ I = O; P ≥ J ≥ K ≥ W; Z ≤ M ≤ W
Conclusions:
I) O > Z
II) O = Z
...Statements: M $ K; K & N, N % R, R @ W
Conclusions:Â Â Â Â Â
I. W & KÂ Â Â Â Â Â Â Â
II. K & WÂ Â Â Â Â Â Â Â Â Â Â Â ...
Statements: I ≥ E = S > J < N > V > Q ≤ O
Conclusion
I: I > S
II: Q < N
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...
Statements: F > V > W ≥ L > G; F ≤ O = M < I
Conclusions: I. M > LÂ Â Â II. V < I
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