What is the general solution for sec(2x+60)=-1.5 ?

The general solution for sec(2x+60)=-1.5 is x=-30+pin+(2.30052…)/2 ,x=-30+pin-(2.30052…)/2

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sec(2x+60)=-1.5

sec (2 x + 60) = - 1.5

x = - 30 + πn + \frac{2.30052 \dots}{2}, x = - 30 + πn - \frac{2.30052 \dots}{2}

Solution steps

sec (2 x + 60) = - 1.5

Apply trig inverse properties

2 x + 60 = arcsec (- 1.5) + 2 πn, 2 x + 60 = - arcsec (- 1.5) + 2 πn

Solve

2 x + 60 = arcsec (- 1.5) + 2 πn : x = - 30 + πn + \frac{arcsec ( - 1.5 )}{2}

Solve

2 x + 60 = - arcsec (- 1.5) + 2 πn : x = - 30 + πn - \frac{arcsec ( - 1.5 )}{2}

x = - 30 + πn + \frac{arcsec ( - 1.5 )}{2}, x = - 30 + πn - \frac{arcsec ( - 1.5 )}{2}

Show solutions in decimal form

x = - 30 + πn + \frac{2.30052 \dots}{2}, x = - 30 + πn - \frac{2.30052 \dots}{2}

sin^{2} (x) + 2 sin^{2} (\frac{x}{2}) = 1

tan (a) = 0.7

8 sin (x) - 4 csc (x) = 0

6 cos^{2} (x) + 5 sin (x) - 2 = 0

\frac{tan ^{2} ( b ) + 1}{tan ( b )} = csc^{2} (b)

What is the general solution for sec(2x+60)=-1.5 ?
The general solution for sec(2x+60)=-1.5 is x=-30+pin+(2.30052…)/2 ,x=-30+pin-(2.30052…)/2