What is the general solution for cos(A)=0.7865 ?

The general solution for cos(A)=0.7865 is A=0.66567…+2pin,A=2pi-0.66567…+2pin

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cos(A)=0.7865

cos (A) = 0.7865

A = 0.66567 \dots + 2 πn, A = 2 π - 0.66567 \dots + 2 πn

Degrees

A = 38.14037 \dots^{\circ} + 36 0^{\circ} n, A = 321.85962 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (A) = 0.7865

Apply trig inverse properties

cos (A) = 0.7865

General solutions for

cos (A) = 0.7865

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

A = arccos (0.7865) + 2 πn, A = 2 π - arccos (0.7865) + 2 πn

A = arccos (0.7865) + 2 πn, A = 2 π - arccos (0.7865) + 2 πn

Show solutions in decimal form

A = 0.66567 \dots + 2 πn, A = 2 π - 0.66567 \dots + 2 πn

sin (x) = cos (2 x + 5 1^{\circ})

sin (x) = \frac{π}{4}

cos (x) = 45.7

- 2 cos (2 θ) = 1

tan (5 x) \cdot cot (x + 4 0^{\circ}) = 1

What is the general solution for cos(A)=0.7865 ?
The general solution for cos(A)=0.7865 is A=0.66567…+2pin,A=2pi-0.66567…+2pin