Hence, Sin 120o- Cos 30o= \[\frac{\sqrt{3}}{2}\] - \[\frac{\sqrt{3}}{2}\] = 0 2. Evaluate the value of 3 sin 30o+ tan 45o Solution:The value of sine 120o= \[\frac{1}{2}\] Value of tan 45 = 1 By substituting the values, we get 3 (\[\frac{1}{2}\]) +...
Prove that :cos−1.45+tan−1.35=tan−1.2711 (ii) Prove that :sin−1.35+tan−1.35=tan−1.2711 View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium ...
d(sinx)dx=cosx 2.) Derivative for the sine function with differentiable argument. d(sin(g(x)))dx=cos(g(x))⋅dg(x)dx Answer and Explanation: We are given: sinx=sinydydx=? Write the first derivative to both sides of...
Specifically, the ratios of the sides of a right triangle's angles can be calculated using the six trigonometric functions which are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). Answer and Explanation: First, we need to express sin105o...
the simple properties of triangles. However this is only applicable for right angled triangles where the ratios of sides are expressed in the form of six trigonometric ratios. They are Sin, Cos, Tan, Cosec, Sec, and Cot which are actually the ratio of the sides of a right-angled triangle...
Finding identity: (1) cscx - cscx cos^2x = sin x (2) cot^2x/csc x = csc x - sinx (3) (cot^2x + 1)(sin^2 x + 1) = cot^2 x + 2 Simplify tan^2t csc^2t -1 Establish the identity. \frac {1 - \cos \theta}{\sin \...
4. Square both sides: tan2θ=(15cosθ−1)2 5. Expanding the right side: tan2θ=(1−5cosθ5cosθ)2=(1−5cosθ)225cos2θ 6. Using the identity sec2θ=1+tan2θ, we can express sec2θ in terms of tan2θ: sec2θ=1+tan2θ 7. Substituting sec2θ: sec2θ=1cos2θ ...
If {eq}\theta = \sec^{-1} \left (-\dfrac {\sqrt {13}} 2\right ) {/eq}, find the exact values of {eq}\sin \theta,\ \cos \theta, {/eq} and {eq}\tan \theta {/eq}. Trigonometric Identities: In mathematics, a trigonometric identity is an equation that...
Kin C, Kidess E, Poultsides GA, Visser BC, Jeffrey SS (2013) Colorectal cancer diagnostics: biomarkers, cell-free DNA, cir- culating tumor cells and defining heterogeneous populations by single-cell analysis. Expert Rev Mol Diagn 13(6):581-599...
sin-1(2x √1 - x²) = 2 cos-1x, when 1/√2 ≤ x ≤ 1Derivative of Inverse Sine Let us find the derivative of y = sin-1x. By the definition of inverse sine, y = sin-1x can be written as sin y = x. Differentiating this on both sides with respect to x using the chai...