What is the general solution for cos(a)=-4/5 ,90<a<180 ?

The general solution for cos(a)=-4/5 ,90<a<180 is a=2.49809…

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cos(a)=-4/5 ,90<a<180

cos (a) = - \frac{4}{5}, 9 0^{\circ} < a < 18 0^{\circ}

a = 2.49809 \dots

Solution steps

cos (a) = - \frac{4}{5}, 9 0^{\circ} < a < 18 0^{\circ}

Apply trig inverse properties

cos (a) = - \frac{4}{5}

General solutions for

cos (a) = - \frac{4}{5}

cos (x) = - a \Rightarrow x = arccos (- a) + 36 0^{\circ} n, x = - arccos (- a) + 36 0^{\circ} n

a = arccos (- \frac{4}{5}) + 36 0^{\circ} n, a = - arccos (- \frac{4}{5}) + 36 0^{\circ} n

a = arccos (- \frac{4}{5}) + 36 0^{\circ} n, a = - arccos (- \frac{4}{5}) + 36 0^{\circ} n

Solutions for the range

9 0^{\circ} < a < 18 0^{\circ}

a = arccos (- \frac{4}{5})

Show solutions in decimal form

a = 2.49809 \dots

3 cot^{2} (2 x - \frac{3 π}{2}) = 1

1.6 sin (θ) = 1.49

cos (x) = 0.695

3 + sec (x) = 5

cos (x) = \frac{3}{30}

What is the general solution for cos(a)=-4/5 ,90<a<180 ?
The general solution for cos(a)=-4/5 ,90<a<180 is a=2.49809…