# What is Sin: Definition and 451 Discussions

In a religious context, sin is a transgression against divine law. Each culture has its own interpretation of what it means to commit a sin. While sins are generally considered actions, any thought, word, or act considered immoral, selfish, shameful, harmful, or alienating might be termed "sinful".

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1. ### Converting from sin to cos appropriately with phasors

My transmissions line class often features problems where the voltage is expressed as a sin, not a cos. Obviously a phase shift of pi/2 is sufficient to convert between the two. However, I have trouble understanding when adding pi/2 is appropriate as opposed to subtracting pi/2. As per my...
2. ### Calculate the limit cos(x)/sin(x) when x approaches 0

Hi, I need to check whether the limit of the following function exists or not I have now proceeded as follows to look at the right-sided and left-sided limit i.e. ##\displaystyle{\lim_{x \to 0^{+}}}## and ##\displaystyle{\lim_{x \to 0^{-}}}## To do this, I drew up a list in which I move from...
3. ### The biomechanics of elbow extension

𝐹𝑃𝑥 = 93.6650N sin (85 − 90) + 28.11N sin(180 − 85 − 79) Fpx= -8.16344N +7.74816N 𝐹𝑃𝑥 = -0.4154 N←
4. ### Proving a trigonometric identity with ##\sin^4## s and ##\cos^4## s

Problem statement : Let me copy and paste the problem as it appears in the text to the right. Attempt : Let me copy and paste my attempt. I couldn't go far, as you will see. I couldn't progress from here. The powers of the ##\sin## and the ##\cos## are both what we want (##8##), but the...
5. ### How to find out the sin value from cos

First off sorry if something doesn't make sense, english is not my native language. I know i should start with sin2 α + cos2 = 1, but ant really continue from it. i am being confused by cos α = √5/3 since i know it isn't found in normal trig tables. So my problem is how to find out values of...
6. ### MHB 5.2.1 vol of sin x^2 ; 0\le x \le \dfrac{\pi}{2}

volume of the solid $y=\sin (x^2)\quad 0\le x \le \dfrac{\pi}{2}$ $\displaystyle \int_0^{\pi/2}\sin (x^2)\ dx$ ok think this should be area not volume but hope my int is set up ok
7. ### Using the sin function for a problem with a frictionless pulley and an incline

To find the tension in the rope connecting 6.0 kg block and 4.0 kg block we do 6.0 kg = m1, 4.0 kg = m2, 9.0 kg = M (m_2 + m_1)a - Ma = Mg - m_2 gsin\theta - m_1 gsin\theta Why do we use sin in these equations and not cos?
8. ### Show that a projectile lands at a distance ##R = \frac{2v_0^2 sin \theta cos(\theta + \phi)}{g cos^2 \phi}##

##V_x = V_0 cos \theta ## ##x = V_0 cos \theta t## ##V_y = V_0 cos \theta ## ##y = V_0 cos \theta t## ##F_x = m\ddot{x}## ##-mgsin \phi = m\ddot{x}## ##\dot{x} = -gtsin\phi + V_x## ##x = -\frac{1}{2} gt^2 sin \phi + V_x t## ##x = -\frac{1}{2} gt^2 sin \phi + v_0 cos\theta t## ##F_y =...
9. ### I How do I do this calculation involving the SIN function?

Hi, I am new here and hope I have posted my thread in the right forum. I have the following SIN function in Excel: =1*(SIN(2*PI()*1,6667*0,45)) The result is -1. That is what I want, so no problem. But what I want is a function that calculates the Time t value, in this example the value 0.45...
10. ### Trigonometric equation of two sines

Given : The equation ##\sin m\theta + \sin n\theta = 0##. Attempt : Using the formula for ##\text{sin C + sin D}## (see Relevant Equation 3 above), the given equation simplifies to \begin{equation*} 2 \sin \frac{(m+n)\theta}{2} \cos \frac{(m-n)\theta}{2} = 0 \end{equation*} This implies the...