Trigonometry is crucial topic in the Quantitative Aptitude section of exams like SSC, Railways, and Defense. Explore trick related to trigonometry in the Article.
Write as sine or cosine of a single angle. sin 2x sin x - cos 2x cos x If (a^2 - b^2) sin x + 2ab cos x = a^2 + b^2 then value of tan x is? What is the exact value of sin (45 + 30)? What is the exact value of \sin (29\pi/6) ?
The formula for tan 2x, in terms of sine and cosine functions is: Tan 2x = Sin 2x / Cos 2x Tan 2x = (2 sin x cos x) /(cos2x – sin2x) Now, substitute the known values in the formula, we get Tan 2x = [2(5/12)(3/12)] / [(9/144) – (25/144)] ...
tan (A + B) = (tan A + tan B) / (1 - tan A tan B) tan (A - B) = (tan A - tan B) / (1 + tan A tan B) Tangent Formula of Double Angle We have double angle formulas in trigonometry which deal with 2 times the angle. The double angle formula of tan is tan 2x = ...
The double angle formula can find the value of twice an angle under sine, cosine, or tangent. In other words, given an angle {eq}\theta {/eq}, the double angle formula is used to calculate {eq}\sin 2\theta,~\cos 2\theta,~\tan 2\theta {/eq}. These identities make it possible ...
Find a formula forL[d3ydt3] in terms of L[y] Laplace Transform of the Derivatives Computing the Laplace Transform of the derivatives of the function is an essential tool in Mathematics. This will enable us to solve ordinary differential equations (espe...
cos (θ) = sin (π/2 − θ) Below, all the other trigonometric functions in terms of cos function are also given. Other Trigonometric Functions in Terms of Sine Trigonometric FunctionsRepresented as Sine sin θ±√(1-cos2θ) tan θ±√(1-cos2θ)/cos θ ...
Cos– Returns the cosine of an angle specified in radians. Cot– Returns the cotangent of an angle specified in radians. CountA– Counts table records that aren'tempty. CountIf– Counts table records that satisfy a condition. CountRows– Counts table records. ...
Hence,$\frac{cos37^o}{sin53^o}$= 1 Trigonometric Identities as values of functions at 2x in terms of vales at x Now we shall introduce identities expressing the trigonometric functions asmultiplesof x, i.e. 2x, 3s, 4x etc. in terms of the values of x. some of the commonly...
Starting from the Pythagorean Theorem and similar triangles, we can find connections between sin, cos, tan and friends (read the article on trig). Can we go deeper? Maybe we can connect sine with itself (sin-ception). In math terms, we’re looking for formulas like this (full cheatsheet...