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Popular >

5sin(1.75x)=1.4

Solution

5 sin (1.75 x) = 1.4

Solution

x = \frac{0.28379 \dots}{1.75} + \frac{2 πn}{1.75}, x = \frac{π}{1.75} - \frac{0.28379 \dots}{1.75} + \frac{2 πn}{1.75}

+1

Degrees

x = 9.29154 \dots^{\circ} + 205.71428 \dots^{\circ} n, x = 93.56559 \dots^{\circ} + 205.71428 \dots^{\circ} n

Solution steps

5 sin (1.75 x) = 1.4

Divide both sides by

5

5 sin (1.75 x) = 1.4

Divide both sides by

5

\frac{5 sin ( 1.75 x )}{5} = \frac{1.4}{5}

Simplify

sin (1.75 x) = 0.28

sin (1.75 x) = 0.28

Apply trig inverse properties

sin (1.75 x) = 0.28

General solutions for

sin (1.75 x) = 0.28

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

1.75 x = arcsin (0.28) + 2 πn, 1.75 x = π - arcsin (0.28) + 2 πn

1.75 x = arcsin (0.28) + 2 πn, 1.75 x = π - arcsin (0.28) + 2 πn

Solve

1.75 x = arcsin (0.28) + 2 πn : x = \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

1.75 x = arcsin (0.28) + 2 πn

Divide both sides by

1.75

1.75 x = arcsin (0.28) + 2 πn

Divide both sides by

1.75

\frac{1.75 x}{1.75} = \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

Simplify

x = \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

x = \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

Solve

1.75 x = π - arcsin (0.28) + 2 πn : x = \frac{π}{1.75} - \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

1.75 x = π - arcsin (0.28) + 2 πn

Divide both sides by

1.75

1.75 x = π - arcsin (0.28) + 2 πn

Divide both sides by

1.75

\frac{1.75 x}{1.75} = \frac{π}{1.75} - \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

Simplify

x = \frac{π}{1.75} - \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

x = \frac{π}{1.75} - \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

x = \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}, x = \frac{π}{1.75} - \frac{arcsin ( 0.28 )}{1.75} + \frac{2 πn}{1.75}

Show solutions in decimal form

x = \frac{0.28379 \dots}{1.75} + \frac{2 πn}{1.75}, x = \frac{π}{1.75} - \frac{0.28379 \dots}{1.75} + \frac{2 πn}{1.75}

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