What is the general solution for cos(a)= 3/4 ?

The general solution for cos(a)= 3/4 is a=0.72273…+2pin,a=2pi-0.72273…+2pin

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cos(a)= 3/4

cos (a) = \frac{3}{4}

a = 0.72273 \dots + 2 πn, a = 2 π - 0.72273 \dots + 2 πn

Solution steps

cos (a) = \frac{3}{4}

Apply trig inverse properties

a = arccos (\frac{3}{4}) + 2 πn, a = 2 π - arccos (\frac{3}{4}) + 2 πn

Show solutions in decimal form

a = 0.72273 \dots + 2 πn, a = 2 π - 0.72273 \dots + 2 πn

∣ tan (x) ∣ = 1

3 sin (x) + 4 = 5 cos (x)

2 cos^{2} (x) + 5 sin (x) = 4, 0 \leq x \leq 2 π

2 - cos^{2} (x) - sin (x) - 1 = cos^{2} (x)

2 cos (2 x) + 1 = 0, 0 \leq x \leq 2 π

What is the general solution for cos(a)= 3/4 ?
The general solution for cos(a)= 3/4 is a=0.72273…+2pin,a=2pi-0.72273…+2pin