What is the general solution for sin(d)=0.81 ?

The general solution for sin(d)=0.81 is d=0.94415…+2pin,d=pi-0.94415…+2pin

sin(d)=0.81

sin (d) = 0.81

d = 0.94415 \dots + 2 πn, d = π - 0.94415 \dots + 2 πn

Degrees

d = 54.09593 \dots^{\circ} + 36 0^{\circ} n, d = 125.90406 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (d) = 0.81

Apply trig inverse properties

sin (d) = 0.81

General solutions for

sin (d) = 0.81

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

d = arcsin (0.81) + 2 πn, d = π - arcsin (0.81) + 2 πn

d = arcsin (0.81) + 2 πn, d = π - arcsin (0.81) + 2 πn

Show solutions in decimal form

d = 0.94415 \dots + 2 πn, d = π - 0.94415 \dots + 2 πn

t, 16 sin (t) cos (t) = 6 sin (t)

6 cos (6 t) + 24 sin (6 t) = 0

sin (x) = \frac{50 \cdot sin ( 14 5 ^{\circ} )}{120}

0.34 = cos (x)

7 sin (x) cos (x) + cos^{2} (x) = 1

What is the general solution for sin(d)=0.81 ?
The general solution for sin(d)=0.81 is d=0.94415…+2pin,d=pi-0.94415…+2pin