Question
If sin x + sin 2x = 1 and cos x + cos 2x = 0, find
x.Solution
Given sin x + sin 2x = 1 and cos x + cos 2x = 0. Using the double-angle identities: sin 2x = 2 sin x cos x and cos 2x = 2 cos² x - 1. Substitute sin 2x and cos 2x into the equations: From sin x + 2 sin x cos x = 1, sin x(1 + 2 cos x) = 1. (Equation 1) From cos x + (2 cos² x - 1) = 0, 2 cos² x + cos x - 1 = 0. Solving this quadratic equation gives cos x = 1/2 or cos x = -1. For cos x = 1/2, substitute into Equation 1: sin x(1 + 2 × 1/2) = 1, sin x(1 + 1) = 1, 2 sin x = 1, so sin x = 1/2. Thus, x = 30°. Answer: a) 30°.
Civil Court can be requested for assistance in taking evidence by?
The period of limitation to file an application for leave to appear and defend a suit under summary procedure is:
Nothing is said to be done or believed in good faith which is done
In Islamic divorce law, what is the process of khula?Â
Under the Constitution of India the legislative power of Governor is mentioned in which Article?
As per the Insurance Act, 1938 an insurance company shall not be wound up voluntarily except _________________
Under section 34 relating to the appointment of a liquidator the _______________ shall propose the name of another insolvency professional along with wr...
In the context of voluntary liquidation of a corporate person as laid down under the IBC, what is the next step after the affairs have been completely w...
Whether in criminal proceedings the previous good character of an accused person is relevant:
What is the jurisdiction of District Commission ?
