Given a rectangle (17.5cmxx26.2cm). Find the angle between the longer side and the diagonal.

comprehension check for derivatives of trigonometric functions:
a) true or false: if ${\displaystyle fprime\left(\theta \right)=-\sin \left(\theta \right),thenf\left(\theta \right)=\cos \left(\theta \right).}$
b) true or false: ${\displaystyle If\theta }$ is one of the non right angles in a right triangle and $\sin (\theta )=2/3$, then the hypotenuse of the triangle must have length 3.

Solve $(2\sin x\cot x+\sin x+4\cot x-2)/(2\cot x+1)=\sin x-2$

Trying to solve the trig equation $\sqrt{3+4{\cos }^2(x)}=\frac{\sin (x)}{\sqrt{3}}+3\cos (x)$

Find the linear equations that can be used to convert an (x, y) equation to a (x, v) equation using the given angle of rotation θ.

$\theta =\frac{\pi }{3}$

${\displaystyle \cot 2\left(\sin \left(\theta \right)\right)}$
Find the derivative.

Solve the problem.
$\sin 2x-\sin 4x$

Determine whether the statement "I’ve noticed that for sine, cosine, and tangent, the trig function for the sum of two angles is not equal to that trig function of the first angle plus that trig function of the second angle", makes sense or does not make sense, and explain your reasoning.