Solving 9.8*Sin(theta)=7.056*Cos(theta)

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To solve the equation 9.8 * Sin(theta) = 7.056 * Cos(theta), one can rearrange it to find that tan(theta) = 7.056 / 9.8. The calculated angle theta is approximately 36 degrees, which aligns with the tangent value derived. However, it is important to remember that the tangent function is periodic, meaning that additional solutions can be found by adding multiples of π. This periodicity must be considered when determining all possible angles for theta.
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Could someone remind me the proper way to solve this equation. I cannot recall how.

9.8 * Sin (theta) = 7.056 * Cos (theta)

Plugging number in and working backwads I got the answer theta=36 which is correct as far as I can tell.
 
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7.056/9.8 = tan (theta)
theta = inverse tangent of (7.056/9.8)
 
CaptainJames said:
7.056/9.8 = tan (theta)
theta = inverse tangent of (7.056/9.8)
We don't give COMPLETE SOLUTION here, in Physics Forums.
However, that's not completely correct, yet. One should also note that:
\tan x = \tan (x + \pi) tangent function is periodic with period \pi.
 
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