Prove that:cos2θ1+sin2θ=tan(π4−θ) View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium ...
Given a polar curve {eq}r = f(\theta) {/eq}, the slope of the tangent line is computed using the formula: $$\displaystyle m(\theta) = \frac{dy}{dx} = \frac{\dfrac{dr}{d\theta}\sin(\theta) + r\cos(\theta)}{\dfrac{dr}{d\theta}...
8 \sin 4(\theta) -= \cos (4 \theta) - 4 \cos(2 \theta) + 3 Verify the identity. Assume that all quantities are defined. (1 + sin(theta))/(cos(theta)) = sec(theta) + tan(theta). Verify the identity. sin (x + y) - sin (x - y) = 2...
3. What is the sin formula? In trigonometry, the sine function is categorised as the periodic function. The sine function can also be defined as the ratio of the length of the perpendicular to that of the length of the hypotenuse in a right-angled triangle. Sin is a periodic function wi...
Step 2: Express sin3θ in terms of sinθUsing the triple angle formula for sine, we have:sin3θ=3sinθ−4sin3θSubstituting this into our function gives:f(θ)=sinθ(sinθ+(3sinθ−4sin3θ))This simplifies to:f(θ)=sinθ(4sinθ−4sin3θ) Step 3: Factor the expressionFacto...
$\cos 2\theta =1 -2\sin^{2} \theta—--->(4)$ Substituting equation (4) in equation (3) and simplify: $ \Rightarrow3\sin\theta - 4sin^{3}\theta = 1 -2\sin^{2}\theta \\$ $\Rightarrow3\sin\theta - 4sin^{3}\theta + 2\sin^{2} \theta -1 =0 \\$ $\Right...
https://socratic.org/questions/how-do-you-find-the-value-of-sin-20-theta-using-the-double-angle-identity Find sin (20) deg Explanation: Call sin 20 = t Apply the trig formula:sin3a=3sina−4sin3asin60=23=3t−4t3... ...
Find the Slope of a Line | Formula & Examples from Chapter 15 / Lesson 4 117K Learn how to determine the slope of a line with two points, how the slope formula is related to rise over run, and review examples of how to find the slope. Related...
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Find the points at which the polar curve {eq}r= 3+6sin(\theta) {/eq} have a horizontal or a vertical tangent line. Slope of Polar Curve: The slope of a polar curve expressed by the equation {eq}r=r( \theta) {/eq} can be calculated by means o...