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

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

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4cos(t)=3

4 cos (t) = 3

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

Degrees

t = 41.40962 \dots^{\circ} + 36 0^{\circ} n, t = 318.59037 \dots^{\circ} + 36 0^{\circ} n

Solution steps

4 cos (t) = 3

Divide both sides by

4

4 cos (t) = 3

Divide both sides by

4

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

Simplify

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

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

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

4 sin (x) cos (x) - 1 = 0

sin (a) = \frac{2}{5}

2 cot^{2} (x) - 5 csc (x) - 1 = 0

3 sin (x) tan (x) + 3 tan (x) = 0

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