What is the general solution for 5*10cos(x)=48 ?

The general solution for 5*10cos(x)=48 is x=0.28379…+2pin,x=2pi-0.28379…+2pin

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5*10cos(x)=48

5 \cdot 10 cos (x) = 48

x = 0.28379 \dots + 2 πn, x = 2 π - 0.28379 \dots + 2 πn

Solution steps

5 \cdot 10 cos (x) = 48

Divide both sides by

50

cos (x) = \frac{24}{25}

Apply trig inverse properties

x = arccos (\frac{24}{25}) + 2 πn, x = 2 π - arccos (\frac{24}{25}) + 2 πn

Show solutions in decimal form

x = 0.28379 \dots + 2 πn, x = 2 π - 0.28379 \dots + 2 πn

5 sin (x) - 1 = 2 cos^{2} (x)

tan^{2} (x) + 23 tan (x) + 3 = 0

7 tan (θ) - 8 = 5 tan (θ) - 5

sin (θ) = 0.99

sin (θ) = 0.93

What is the general solution for 5*10cos(x)=48 ?
The general solution for 5*10cos(x)=48 is x=0.28379…+2pin,x=2pi-0.28379…+2pin