What is the general solution for sin(x)=0.7,0<= x<= 360 ?

The general solution for sin(x)=0.7,0<= x<= 360 is x=0.77539…,x=180-0.77539…

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sin(x)=0.7,0<= x<= 360

sin (x) = 0.7, 0^{\circ} \leq x \leq 36 0^{\circ}

x = 0.77539 \dots, x = 18 0^{\circ} - 0.77539 \dots

Radians

x = 0.77539 \dots, x = π - 0.77539 \dots

Solution steps

sin (x) = 0.7, 0^{\circ} \leq x \leq 36 0^{\circ}

Apply trig inverse properties

sin (x) = 0.7

General solutions for

sin (x) = 0.7

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x = arcsin (0.7) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

x = arcsin (0.7) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

Solutions for the range

0 \leq x \leq 36 0^{\circ}

x = 0.77539 \dots, x = 18 0^{\circ} - 0.77539 \dots

- 2 + cot (θ) = - 3, 0 \leq θ < 2 π

sec (θ) csc (θ) = 2 csc (θ)

sin (A) = \frac{( 60 ) sin ( 15 5 ^{\circ} )}{97.73}

cos (θ) = 1 - cos (θ)

tan (θ) = - 1.5

What is the general solution for sin(x)=0.7,0<= x<= 360 ?
The general solution for sin(x)=0.7,0<= x<= 360 is x=0.77539…,x=180-0.77539…