Question
Given that 'θ' is an angle less than 120 °
, what is the value of 'θ' if it satisfies the equation 3cos 2 θ = 2 + sin 2 θ.Solution
Given, 3cos 2 θ = 2 + sin 2 θ
3cos 2 θ - sin 2 θ = 2
3cos 2 θ - (1 - cos 2 θ) = 2
4cos 2 θ = 3
cos 2 θ = (3/4)
cosθ = √3/2 (Since, in options maximum value of 'θ' is 90 o therefore, we will take the positive root only)
cosθ = cos30 o
θ = 30 o
Res gestae is a latin term which means-
What are the responsibilities of the bailor regarding faults in the goods bailed as per the Contract Act?
The legal maxim Actus Non Facit Reum Nisi Mens Sit Rea means________________
Which of the following is not a coparcenary property under the Hindu Succession Act?
What are the requirements for a nomination made by a policyholder to be effective, and how can it be changed according to the Insurance Act?
What constitutes the use of criminal force under the Bharatiya Nyaya Sanhita?
Among the following which section of the Act based on the principle of “Agency”_____
As per the provisions of the Central Vigilance Commission Act no act or proceeding of the Commission shall be invalid merely by reason of_______________...
A prospectus shall not be a valid prospectus if it has been issued _____________
Which of the following sections of Transfer of Property Act, 1882 cover transfer for benefit of unborn person?
Relevant for Exams:
