Question
If sin (4A − 5B) = (√2/2) and cos (A + B) = (√2/2),
where 0° < A, B < 90°, then find the value of ‘A’.Solution
sin (4A − 5B) = (√2/2)
Or, sin (4A − 5B) = sin 45°
Or, 4A − 5B = 45° ----------- (I)
And, cos (A + B) = (√2/2)
Or, cos (A + B) = cos 45°
Or, A + B = 45° -------------- (II)
On solving equation I + 5 × equation II, we get;
4A − 5B + 5 × (A + B) = 45 + 5 × 45
Or, 4A − 5B + 5A + 5B = 270°
Or, 9A = 270°
So, ‘A’ = 30°
What should come in place of '?' in the given series?
14 85 511 3067 18403 ?
In a certain code language, if CRACK is written in TEZME, how will AMUCK be written in the same code language?
Two statements A and B are given. There may be a cause-and effect relationship between the two statements. These two statements may be the effect of the...
In a certain code language, ‘BIND’ is coded as ‘9214’ and ‘DRIB’ is coded as ‘4109’. What is the code for ‘N’ in the given code lang...
Rearrange the following jumbled sentences to make a meaningful one:
P: are inhibiting progress
Q: they look for creative
R: ...
‘Lavish’ is related to ‘Austere’ in the same way as ‘Prejudiced’ is related to ‘________’. (The words must be considered as meaningful E...
Which of the following groups of letters when sequentially placed from left to right will complete the given series?
ee_fgghheeffgg_heeffgghhee...
Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is rela...
Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
