What is the general solution for sin(x)=1.9cos(x) ?

The general solution for sin(x)=1.9cos(x) is x=1.08631…+pin

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sin(x)=1.9cos(x)

sin (x) = 1.9 cos (x)

x = 1.08631 \dots + πn

Solution steps

sin (x) = 1.9 cos (x)

Rewrite using trig identities

tan (x) = 1.9

Apply trig inverse properties

x = arctan (1.9) + πn

Show solutions in decimal form

x = 1.08631 \dots + πn

tan^{2} (x) + 9 tan (x) + 1 = 0

sinh (t) = 0

9 sin (x) - 4 = 0

cos (2 x) \cdot 2 - 1 = 0

sec^{2} (x) + sec (x) - 6 = 0

What is the general solution for sin(x)=1.9cos(x) ?
The general solution for sin(x)=1.9cos(x) is x=1.08631…+pin