What is the general solution for cos(x)= 9/15 ?

The general solution for cos(x)= 9/15 is x=0.92729…+2pin,x=2pi-0.92729…+2pin

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cos(x)= 9/15

cos (x) = \frac{9}{15}

x = 0.92729 \dots + 2 πn, x = 2 π - 0.92729 \dots + 2 πn

Solution steps

cos (x) = \frac{9}{15}

Cancel the common factor:

3

cos (x) = \frac{3}{5}

Apply trig inverse properties

x = arccos (\frac{3}{5}) + 2 πn, x = 2 π - arccos (\frac{3}{5}) + 2 πn

Show solutions in decimal form

x = 0.92729 \dots + 2 πn, x = 2 π - 0.92729 \dots + 2 πn

8 sin^{2} (x) + 12 sin (x) + 4 = 0

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

0 = 4 sin (x)

tan (- 6 0^{\circ}) = \frac{( 1 - cos ( u ) )}{sin ( u )}

sec^{2} (θ) (1 + cos^{2} (θ)) = 2 - tan^{2} (θ)

What is the general solution for cos(x)= 9/15 ?
The general solution for cos(x)= 9/15 is x=0.92729…+2pin,x=2pi-0.92729…+2pin