What is the general solution for 8cos(c)+6=3cos(c)+7 ?

The general solution for 8cos(c)+6=3cos(c)+7 is c=1.36943…+2pin,c=2pi-1.36943…+2pin

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8cos(c)+6=3cos(c)+7

8 cos (c) + 6 = 3 cos (c) + 7

c = 1.36943 \dots + 2 πn, c = 2 π - 1.36943 \dots + 2 πn

Solution steps

8 cos (c) + 6 = 3 cos (c) + 7

Solve by substitution

cos (c) = \frac{1}{5}

cos (c) = \frac{1}{5} : c = arccos (\frac{1}{5}) + 2 πn, c = 2 π - arccos (\frac{1}{5}) + 2 πn

Combine all the solutions

c = arccos (\frac{1}{5}) + 2 πn, c = 2 π - arccos (\frac{1}{5}) + 2 πn

Show solutions in decimal form

c = 1.36943 \dots + 2 πn, c = 2 π - 1.36943 \dots + 2 πn

2 csc (A) - 4 = 0

7 tan^{2} (x) - 21 = 0

- 4 cos (x) = - sin^{2} (x) + 4

sin (x) cos (x) + sin (x) = 0

sin (θ) = 0.56

What is the general solution for 8cos(c)+6=3cos(c)+7 ?
The general solution for 8cos(c)+6=3cos(c)+7 is c=1.36943…+2pin,c=2pi-1.36943…+2pin