If2cosθ=√3,cos theta xx tan theta =? View Solution Ifcosecθ−sinθ=p3andsecθ−cosθ=q3, then what is the value of tanθ? View Solution What is the value of[cos3θ+2cos5θ+cos7θcosθ+2cos3θ+cos5θ]+sin2θtan3θ?
Similarly, the cosine is defined as it is the trigonometric function which is equal to ratio of the length of the adjacent side to the length of the hypotenuse. There are six basic trigonometric ratios for the right-angled triangle. They are sin, cos, tan, cosec, sec, cot which stand...
Hint:Express ${{270}^{\circ }}\text{ into }\left( {{270}^{\circ }}+\theta \right)$ . Then we should use the following two identities for sin and cosine respectively, $\sin \left( {{270}^{\circ }}+\theta \right)=-\cos \theta \text{ and }\cos \left( {{270...
What is 1 - cos^2(x) equal to? Determine whether the equation is an identity. If it is, explain how. (cos^2)x - (sin^2)x = 1 - 2(sin^2)x Simplify the trigonometric expression. sin^2 theta/(1+cos theta) (1-cos theta) - tan^2 theta/(sec theta-1)(sec theta+1) ...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
Learn to define the integral of trigonometric functions. Discover the integrals of sine and cosine functions. Find out how to calculate trig functions. See examples. Related to this QuestionWhat is the integral of 1/(2x) dx? What's the integral of sec(x)tan(x) dx? What is the integral...
What is the square root of pi squared? Answer and Explanation: ±π. The square root (√) of a numberais numberbso thatb2=a; in other words, a numberbwhose square (the result of multiplying... Learn more about this topic: Negative Square Root | Definition & Examples ...
A circle is a closed geometric figure such that all the points on its boundary are at equal distance from its center. For a unit circle, this distance is 1 unit, or the radius is 1 unit. Let us learn the equation of the unit circle, and understand the ways to represent each of the...
(iv) Show that , where is the Liouville function, defined to equal when is the product of (not necessarily distinct) primes for some . (v) Show that , where is the holomorphic branch of the logarithm that is real for , and with the convention that vanishes for . (vi) Use the fu...
b. What is the period? c. State the phase shift. Explain how to find the period, amplitude, and phase shift of a cosine function. Find the amplitude, phase shift, and period of 2\:sin(3x - \pi/4). Find the amplitude, period, and p...