In shm i encountered the equation
V=acoswt =a sin (wt+π/2) and i am not able to understand how we change cos to sin and get positive. Please tell and correct me if i am wrong V=velocity

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Solution

Its just because you are thinking in the reverse direction. The equation is perfect because coswt is positive value. So converting it into sine value it must also be a positive value and sine shows positive values in the first 2 quadrants. Therefore v=acoswt=asint(wt+pi/2)

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In shm i encountered the equation V=acoswt =a sin (wt+π/2) and i am not able to understand how we change cos to sin and get positive. Please tell and correct me if i am wrong V=velocity

Its just because you are thinking in the reverse direction. The equation is perfect because coswt is positive value. So converting it into sine value it must also be a positive value and sine shows positive values in the first 2 quadrants. Therefore v=acoswt=asint(wt+pi/2)

In shm i encountered the equation
V=acoswt =a sin (wt+π/2) and i am not able to understand how we change cos to sin and get positive. Please tell and correct me if i am wrong V=velocity