What is the general solution for sin(x)=-cos(34) ?

The general solution for sin(x)=-cos(34) is x=-0.97738…+360n,x=180+0.97738…+360n

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sin(x)=-cos(34)

sin (x) = - cos (3 4^{\circ})

x = - 0.97738 \dots + 36 0^{\circ} n, x = 18 0^{\circ} + 0.97738 \dots + 36 0^{\circ} n

Radians

x = - 0.97738 \dots + 2 πn, x = π + 0.97738 \dots + 2 πn

Solution steps

sin (x) = - cos (3 4^{\circ})

Apply trig inverse properties

sin (x) = - cos (3 4^{\circ})

General solutions for

sin (x) = - cos (3 4^{\circ})

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

x = arcsin (- cos (3 4^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} + arcsin (cos (3 4^{\circ})) + 36 0^{\circ} n

x = arcsin (- cos (3 4^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} + arcsin (cos (3 4^{\circ})) + 36 0^{\circ} n

Show solutions in decimal form

x = - 0.97738 \dots + 36 0^{\circ} n, x = 18 0^{\circ} + 0.97738 \dots + 36 0^{\circ} n

2 sin^{2} (x) = cos^{3} (x) tan (x)

tan (x - 1 0^{\circ}) cot (2 0^{\circ} - x) = 1

3 csc (2 x) - 4 sin (2 x) = 0

3 tan (B) - 4 = tan (B) - 2

sin (2 x) = 5 cos (2 x)

What is the general solution for sin(x)=-cos(34) ?
The general solution for sin(x)=-cos(34) is x=-0.97738…+360n,x=180+0.97738…+360n