What is the general solution for sin(x)=-0.7 ?

The general solution for sin(x)=-0.7 is x=-0.77539…+2pin,x=pi+0.77539…+2pin

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sin(x)=-0.7

sin (x) = - 0.7

x = - 0.77539 \dots + 2 πn, x = π + 0.77539 \dots + 2 πn

Degrees

x = - 44.42700 \dots^{\circ} + 36 0^{\circ} n, x = 224.42700 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.7

Apply trig inverse properties

sin (x) = - 0.7

General solutions for

sin (x) = - 0.7

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

x = arcsin (- 0.7) + 2 πn, x = π + arcsin (0.7) + 2 πn

x = arcsin (- 0.7) + 2 πn, x = π + arcsin (0.7) + 2 πn

Show solutions in decimal form

x = - 0.77539 \dots + 2 πn, x = π + 0.77539 \dots + 2 πn

cot (3 0^{\circ})

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

tan (- \frac{3 π}{4})

cos (- \frac{π}{6})

sec (x) = 2, 0 \leq x \leq 2 π

What is the general solution for sin(x)=-0.7 ?
The general solution for sin(x)=-0.7 is x=-0.77539…+2pin,x=pi+0.77539…+2pin