What is the general solution for 9.2sin(t)+23.2=14.365 ?

The general solution for 9.2sin(t)+23.2=14.365 is t=-1.28816…+2pin,t=pi+1.28816…+2pin

Popular >

9.2sin(t)+23.2=14.365

9.2 sin (t) + 23.2 = 14.365

t = - 1.28816 \dots + 2 πn, t = π + 1.28816 \dots + 2 πn

Solution steps

9.2 sin (t) + 23.2 = 14.365

Multiply both sides by

1000

9200 sin (t) + 23200 = 14365

Move

23200

to the right side

9200 sin (t) = - 8835

Divide both sides by

9200

sin (t) = - \frac{1767}{1840}

Apply trig inverse properties

t = arcsin (- \frac{1767}{1840}) + 2 πn, t = π + arcsin (\frac{1767}{1840}) + 2 πn

Show solutions in decimal form

t = - 1.28816 \dots + 2 πn, t = π + 1.28816 \dots + 2 πn

- 2 sin (x) + cos (2 x) = 0

X, 4 cos (X) cos (Y) = 3

0 = 4 sin (\frac{π}{2} (x - 2)) + 2

sin (θ) = \frac{3}{8}, sin (2 0^{\circ})

- 2 sin (x) + 2 cos (x) = 0

What is the general solution for 9.2sin(t)+23.2=14.365 ?
The general solution for 9.2sin(t)+23.2=14.365 is t=-1.28816…+2pin,t=pi+1.28816…+2pin