What is the general solution for cos(A)=0.65 ?

The general solution for cos(A)=0.65 is A=0.86321…+2pin,A=2pi-0.86321…+2pin

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cos(A)=0.65

cos (A) = 0.65

A = 0.86321 \dots + 2 πn, A = 2 π - 0.86321 \dots + 2 πn

Degrees

A = 49.45839 \dots^{\circ} + 36 0^{\circ} n, A = 310.54160 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (A) = 0.65

Apply trig inverse properties

cos (A) = 0.65

General solutions for

cos (A) = 0.65

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

A = arccos (0.65) + 2 πn, A = 2 π - arccos (0.65) + 2 πn

A = arccos (0.65) + 2 πn, A = 2 π - arccos (0.65) + 2 πn

Show solutions in decimal form

A = 0.86321 \dots + 2 πn, A = 2 π - 0.86321 \dots + 2 πn

sin (3 x - \frac{π}{4}) = \frac{2}{2}

sin (2 θ) = \frac{- 3}{4}, \frac{3 π}{2} \leq 2 θ \leq 2 π

3 cot (x - 1 0^{\circ}) = 4

2.4638 cos (x) = 2.5843

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

What is the general solution for cos(A)=0.65 ?
The general solution for cos(A)=0.65 is A=0.86321…+2pin,A=2pi-0.86321…+2pin