What is the general solution for 69cos(T/2)=45 ?

The general solution for 69cos(T/2)=45 is T=2*0.86034…+4pin,T=4pi-2*0.86034…+4pin

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69cos(T/2)=45

69 cos (\frac{T}{2}) = 45

T = 2 \cdot 0.86034 \dots + 4 πn, T = 4 π - 2 \cdot 0.86034 \dots + 4 πn

Solution steps

69 cos (\frac{T}{2}) = 45

Divide both sides by

69

cos (\frac{T}{2}) = \frac{15}{23}

Apply trig inverse properties

\frac{T}{2} = arccos (\frac{15}{23}) + 2 πn, \frac{T}{2} = 2 π - arccos (\frac{15}{23}) + 2 πn

Solve

\frac{T}{2} = arccos (\frac{15}{23}) + 2 πn : T = 2 arccos (\frac{15}{23}) + 4 πn

Solve

\frac{T}{2} = 2 π - arccos (\frac{15}{23}) + 2 πn : T = 4 π - 2 arccos (\frac{15}{23}) + 4 πn

T = 2 arccos (\frac{15}{23}) + 4 πn, T = 4 π - 2 arccos (\frac{15}{23}) + 4 πn

Show solutions in decimal form

T = 2 \cdot 0.86034 \dots + 4 πn, T = 4 π - 2 \cdot 0.86034 \dots + 4 πn

tan (\frac{π}{4} - x) + tan (x) - 1 = 0

csc (\frac{2 θ}{3}) - 1 = 0

tan^{2} (θ) - 3 cot (θ) = 0

- 0.5 sin (t) = 0, 0 <, = t \leq 4 π

cos (\frac{x}{2}) 2 - sin (x) = 0

What is the general solution for 69cos(T/2)=45 ?
The general solution for 69cos(T/2)=45 is T=2*0.86034…+4pin,T=4pi-2*0.86034…+4pin