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0.26=sin(0.25pit)

Soluzione

0.26 = sin (0.25 π t)

t = \frac{0.26302 \dots}{0.25 π} + \frac{2 n}{0.25}, t = \frac{1}{0.25} - \frac{0.26302 \dots}{0.25 π} + \frac{2 n}{0.25}

Gradi

t = 19.18779 \dots^{\circ} + 458.36623 \dots^{\circ} n, t = 209.99531 \dots^{\circ} + 458.36623 \dots^{\circ} n

Fasi della soluzione

0.26 = sin (0.25 π t)

Scambia i lati

sin (0.25 π t) = 0.26

Applica le proprietà inverse delle funzioni trigonometriche

sin (0.25 π t) = 0.26

Soluzioni generali per

sin (0.25 π t) = 0.26

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

0.25 π t = arcsin (0.26) + 2 πn, 0.25 π t = π - arcsin (0.26) + 2 πn

0.25 π t = arcsin (0.26) + 2 πn, 0.25 π t = π - arcsin (0.26) + 2 πn

Risolvi

0.25 π t = arcsin (0.26) + 2 πn : t = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

0.25 π t = arcsin (0.26) + 2 πn

Dividere entrambi i lati per

0.25 π

0.25 π t = arcsin (0.26) + 2 πn

Dividere entrambi i lati per

0.25 π

\frac{0.25 π t}{0.25 π} = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

Semplificare

t = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

Risolvi

0.25 π t = π - arcsin (0.26) + 2 πn : t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

0.25 π t = π - arcsin (0.26) + 2 πn

Dividere entrambi i lati per

0.25 π

0.25 π t = π - arcsin (0.26) + 2 πn

Dividere entrambi i lati per

0.25 π

\frac{0.25 π t}{0.25 π} = \frac{π}{0.25 π} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

Semplificare

\frac{0.25 π t}{0.25 π} = \frac{π}{0.25 π} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

Semplificare

\frac{0.25 π t}{0.25 π} : t

\frac{0.25 π t}{0.25 π}

Cancella il fattore comune:

0.25

= \frac{π t}{π}

Cancella il fattore comune:

π

= t

Semplificare

\frac{π}{0.25 π} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π} : \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

\frac{π}{0.25 π} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

Cancellare

\frac{π}{0.25 π} : \frac{1}{0.25}

\frac{π}{0.25 π}

Cancella il fattore comune:

π

= \frac{1}{0.25}

= \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 πn}{0.25 π}

Cancellare

\frac{2 πn}{0.25 π} : \frac{2 n}{0.25}

\frac{2 πn}{0.25 π}

Cancella il fattore comune:

π

= \frac{2 n}{0.25}

= \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

t = \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}, t = \frac{1}{0.25} - \frac{arcsin ( 0.26 )}{0.25 π} + \frac{2 n}{0.25}

Mostra le soluzioni in forma decimale

t = \frac{0.26302 \dots}{0.25 π} + \frac{2 n}{0.25}, t = \frac{1}{0.25} - \frac{0.26302 \dots}{0.25 π} + \frac{2 n}{0.25}

4 csc (θ + \frac{π}{3}) = 2

sin (x + 2^{\circ}) = cos (x - 2^{\circ})

cos (x) = \frac{2}{6}

sec (θ) - 2 = 0, 0 \leq θ \leq 2 π

sin (A) - 0.1 \cdot cos (A) = \frac{6.94}{9.8}