identity

The instructions for this problem is to verify the identity. Thank you for your help! (sin3xcos5x-sinxcos7x) / (sinxsin7x+cos3xcos5x) = tan2x

How can this be handled?

Dear My Math Forum Community: Express this as a single trigonometric function: (1 - cos 59.74 degrees)/sin 59.74 degrees The correct answer is: tan 29.87 degrees. Could someone please provide me with a step-by-step demonstration as to how the answer is arrived at? Thank you.:)

Bezout's Identity: If d = gcd(m,n), there exist integers A and B st d=Am+Bn. (proved by Euclid's algorithm} 1) Is there a converse? 2) How would you express it? 3) How would you prove it?

((cot (x))^2+1)/sin (x) expressed in terms of cos (x) is supposedly + or - 1/(1-(cos (x))^2)^(3/2). The graph of the left side is like a slimmer version of the csc function and not surprisingly is tangent to the minimum and maximum points of the sine function. The graph of 1/(1-(cos...

From a College Algebra and Trigonometry textbook: An identity is an equation for which the solution set is the same as the domain of the variable. Accordingly, the equation (tan(x))^2*csc(x) = sin(x)/(1-(sin(x))^2) is supposed to be an identity with the right side expressed in terms in...

Please help me figure out this problem. Cos(X-Y)/CosXCosY = 1 + TanXTanY I feel clueless. How do you verify this identity? Thanks!

cot^2a = cos^2a + cota*cosa

The problem is as follows: $\textrm{Prove:}$ $\sin 2\omega+\sin 2\phi+\sin 2\psi= 4 \sin\omega \sin\phi \sin\psi$ $\textrm{Given this condition:}$ $$\omega +\phi+ \psi= \pi$$ In my attempt to solve this problem I did what I felt obvious and that was to take the sine function to the whole...

0 is the additive identity; i.e. 0+R=R 1 is the multiplicative identity; i.e. 1*R=R 0 is an "exponential inverse"; i.e. R^0=1 for R≠0 1 is an "exponential identity"; i.e. R^1=R 2 is a "universal identity"; i.e. 2+2=2*2=2^2

Prove the identity Au.v = u.A^T v Note that "." in the equation means dot product. I know that I should write the dot products as products of matrices but I don't know how to do it. Thanks in advance :)

I've always struggled with these kinds of problems, since there's so many kinds of ways to do it. Often, whenever I try to solve and prove identities, I end up nowhere. :/ So some tips and advice would be awesome.

$$\alpha={\cot}^{-1 }(\cos\upsilon\tan{\sin}^{-1}(\frac{\sin\frac{\lambda}{ 2}}{ \sin\upsilon}))$$ The equation describes the relationship between 3 dihedral angles in 3D. It is expressed as: $$\alpha=f(\lambda)$$ To understand the angles, it’s easiest to construct a unit sphere with...

I'm going to paraphrase the video, "e to the power of i multiplied by pi = i squared" "i to the power of 3 + 1 = i to the power of 4 = i to the power of 2 multiplied by i to the power of 2" " = -1 X -1 = 1 " "1st predecessor to the Formula of all Primes f(n)=2n+(n-5).i(n+1)+1" "Where n is...

The top represents how zeta is in ratio against the gamma identity, which is access in. The bottom represents how access in needs to use the transference medium state of the identity to find identity, and how it finds it. A more default state of opened identity access is where derivative 0 of...

cot(x) / csc^2(x) + csc(x)cot(x)-1 = sin(x)/(1+cos(x)) I tried using the fundamental identities but got stuck at some point or another. Any help is appreciated, thanks!

Is there any identity for $\tan(\pi z)$ in terms of closed analytical formulas removing the factor $\pi$ from the argument? I only know that \begin{eqnarray} \sin(\pi z)=\frac{\pi}{\Gamma(z)\Gamma(1-z)} \end{eqnarray} so could work as well with a formula for $\cos(\pi z)$ in the same way?

Is there an identity for the expression: [arccos (x/z) - arccos (y/z)] ? or can the expression be otherwise simplified?

Hi, I need to prove the following identity: I tried to go straight forward with the definition of (n choose k), but I got stuck. Do you know how can I prove this?

Hey I'm trying to answer this without a calculator. Arctan(2+sqrt(3)) with calculator it is 75.