What is the general solution for 0.6875=cos(A) ?

The general solution for 0.6875=cos(A) is A=0.81275…+2pin,A=2pi-0.81275…+2pin

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0.6875=cos(A)

0.6875 = cos (A)

A = 0.81275 \dots + 2 πn, A = 2 π - 0.81275 \dots + 2 πn

Degrees

A = 46.56746 \dots^{\circ} + 36 0^{\circ} n, A = 313.43253 \dots^{\circ} + 36 0^{\circ} n

Solution steps

0.6875 = cos (A)

Switch sides

cos (A) = 0.6875

Apply trig inverse properties

cos (A) = 0.6875

General solutions for

cos (A) = 0.6875

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

A = arccos (0.6875) + 2 πn, A = 2 π - arccos (0.6875) + 2 πn

A = arccos (0.6875) + 2 πn, A = 2 π - arccos (0.6875) + 2 πn

Show solutions in decimal form

A = 0.81275 \dots + 2 πn, A = 2 π - 0.81275 \dots + 2 πn

3 (2 sin (x) - 2) (4 cos (x) - 2) = 0

3 cos (2 x) = 2 sin (x) cos (2 x)

3 tan (θ) - 2 sin (θ) tan (θ) = 0

\frac{sin ( 2 x )}{sin ( x )} = 1.5

x, yz = sin (x y)

What is the general solution for 0.6875=cos(A) ?
The general solution for 0.6875=cos(A) is A=0.81275…+2pin,A=2pi-0.81275…+2pin