What is the general solution for -25=(29cos(x))*3.7-4.9*3.7^2 ?

The general solution for -25=(29cos(x))*3.7-4.9*3.7^2 is x=1.16779…+2pin,x=2pi-1.16779…+2pin

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-25=(29cos(x))3.7-4.93.7^2

- 25 = (29 cos (x)) \cdot 3.7 - 4.9 \cdot 3. 7^{2}

x = 1.16779 \dots + 2 πn, x = 2 π - 1.16779 \dots + 2 πn

Solution steps

- 25 = (29 cos (x)) \cdot 3.7 - 4.9 \cdot 3. 7^{2}

Switch sides

29 cos (x) \cdot 3.7 - 4.9 \cdot 3. 7^{2} = - 25

Multiply the numbers:

29 \cdot 3.7 = 107.3

107.3 cos (x) - 3. 7^{2} \cdot 4.9 = - 25

4.9 \cdot 3. 7^{2} = 67.081

107.3 cos (x) - 67.081 = - 25

Multiply both sides by

1000

107300 cos (x) - 67081 = - 25000

Move

67081

to the right side

107300 cos (x) = 42081

Divide both sides by

107300

cos (x) = \frac{42081}{107300}

Apply trig inverse properties

x = arccos (\frac{42081}{107300}) + 2 πn, x = 2 π - arccos (\frac{42081}{107300}) + 2 πn

Show solutions in decimal form

x = 1.16779 \dots + 2 πn, x = 2 π - 1.16779 \dots + 2 πn

t, x = 5 (sin (t) + cos (t))

\frac{2}{2} \cdot 3 \cdot cos (x) - \frac{2}{2} \cdot sin (x) = 0

a, sin (a) = 0.5

\frac{3}{2 cos ( θ )} = 3 - 3 cos (θ)

cos (θ) = 1.25

What is the general solution for -25=(29cos(x))*3.7-4.9*3.7^2 ?
The general solution for -25=(29cos(x))*3.7-4.9*3.7^2 is x=1.16779…+2pin,x=2pi-1.16779…+2pin