What is the general solution for cos(a)= 6/(7.5) ?

The general solution for cos(a)= 6/(7.5) is a=0.64350…+2pin,a=2pi-0.64350…+2pin

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cos(a)= 6/(7.5)

cos (a) = \frac{6}{7.5}

a = 0.64350 \dots + 2 πn, a = 2 π - 0.64350 \dots + 2 πn

Degrees

a = 36.86989 \dots^{\circ} + 36 0^{\circ} n, a = 323.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (a) = \frac{6}{7.5}

Apply trig inverse properties

cos (a) = \frac{6}{7.5}

General solutions for

cos (a) = \frac{6}{7.5}

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

a = arccos (\frac{6}{7.5}) + 2 πn, a = 2 π - arccos (\frac{6}{7.5}) + 2 πn

a = arccos (\frac{6}{7.5}) + 2 πn, a = 2 π - arccos (\frac{6}{7.5}) + 2 πn

Show solutions in decimal form

a = 0.64350 \dots + 2 πn, a = 2 π - 0.64350 \dots + 2 πn

4 - 4 cos (2 x) = 5 - 4 cos (x)

tan (2 x) + sec (2 x) = 4

3 tan (θ - 2 0^{\circ}) = tan^{2} (4 5^{\circ})

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

- 0.1429 = cos (C)

What is the general solution for cos(a)= 6/(7.5) ?
The general solution for cos(a)= 6/(7.5) is a=0.64350…+2pin,a=2pi-0.64350…+2pin