What is the general solution for (10710*cos(2*a))+336.22=0 ?

The general solution for (10710*cos(2*a))+336.22=0 is a=(1.60219…)/2+pin,a=-(1.60219…)/2+pin

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(10710cos(2a))+336.22=0

(10710 \cdot cos (2 \cdot a)) + 336.22 = 0

a = \frac{1.60219 \dots}{2} + πn, a = - \frac{1.60219 \dots}{2} + πn

Solution steps

(10710 cos (2 a)) + 336.22 = 0

Move

336.22

to the right side

10710 cos (2 a) = - 336.22

Divide both sides by

10710

cos (2 a) = - 0.03139 \dots

Apply trig inverse properties

2 a = arccos (- 0.03139 \dots) + 2 πn, 2 a = - arccos (- 0.03139 \dots) + 2 πn

Solve

2 a = arccos (- 0.03139 \dots) + 2 πn : a = \frac{arccos ( - 0.03139 \dots )}{2} + πn

Solve

2 a = - arccos (- 0.03139 \dots) + 2 πn : a = - \frac{arccos ( - 0.03139 \dots )}{2} + πn

a = \frac{arccos ( - 0.03139 \dots )}{2} + πn, a = - \frac{arccos ( - 0.03139 \dots )}{2} + πn

Show solutions in decimal form

a = \frac{1.60219 \dots}{2} + πn, a = - \frac{1.60219 \dots}{2} + πn

tan (θ) = \frac{2}{- 2 3}

arctan (2 x) + arctan (3 x) = \frac{π}{4}

2 sec^{2} (x) - 5 sec (x) - 2 = 0

2 sin (t) cos (t) = sin (t)

32 = 37.3 \cdot sin (\frac{2 π}{365} (x - 114)) + 26

What is the general solution for (10710*cos(2*a))+336.22=0 ?
The general solution for (10710*cos(2*a))+336.22=0 is a=(1.60219…)/2+pin,a=-(1.60219…)/2+pin