What is cos((2pi)/(105)x-y) ?

The solution to cos((2pi)/(105)x-y) is cos((2pix)/(105)-y)

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simplify cos((2pi)/(105)x-y)

simplify

cos (\frac{2 π}{105} x - y)

cos (\frac{2 π x}{105} - y)

Solution steps

cos (\frac{2 π}{105} x - y)

Rewrite using trig identities

= cos (\frac{2 π x}{105}) cos (y) + sin (\frac{2 π x}{105}) sin (y)

Use the Angle Difference identity:

cos (s) cos (t) + sin (s) sin (t) = cos (s - t)

= cos (\frac{2 π x}{105} - y)

csc (θ - \frac{3 π}{2})

sin (54 0^{\circ} - θ)

sin (nπ - mπ)

sin (\frac{a}{2} + \frac{a}{2})

\frac{1}{cos ( θ ) tan ( - θ )}

What is cos((2pi)/(105)x-y) ?
The solution to cos((2pi)/(105)x-y) is cos((2pix)/(105)-y)