Question
If sin(A + B) = √3/2 and cos(A + 2B) = 1/2, where 0°
A, B < 90°, then find the value of tan(2A).Solution
sin(A + B) = √3/2
Or, sin(A + B) = sin 60°
Or, A + B = 60° -------- (I)
cos(A + 2B) = 1/2
Or, cos(A + 2B) = cos 60°
Or, A + 2B = 60° -------- (II)
On solving 2 × equation I – equation II,
We get, 2A + 2B − A − 2B = 120° − 60°
Or, A = 60°
Required value = tan(2A) = tan(120°) = -√3
In the given question, a word has been given and there are three ways in which the word has been used, in similar or different forms. You need to see w...
A person, especially a young one, with exceptional abilities.
In the given question, a word has been given and there are three ways in which the word has been used, in similar or different forms. You need to see w...
In the question below, a sentence is given, four words have been highlighted in bold. Find out if the words are appropriate (grammatically and contextu...
Given below are three sentences which use a common word highlighted. Find out the correct pair of the sentences that use the word correctly.
...
Directions: In each question below, word is used in four different ways. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE....
Select a similar meaning word
Bother
- Below, a word is given followed by three sentences which consist of that word. Identify the sentence/s which best expresses the meaning of the word. Choose...
Ambiguity
(1) Japanese gardens typically included a building for scholarly ambiguity and meditation.
(II) Little ha...
Directions: In each question below, word is used in four different ways. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE....
