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Popular >

(sec(t)-2)(cot(t)+1)=0

Solution

(sec (t) - 2) (cot (t) + 1) = 0

Solution

t = \frac{π}{3} + 2 πn, t = \frac{5 π}{3} + 2 πn, t = \frac{3 π}{4} + πn

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Solution steps

(sec (t) - 2) (cot (t) + 1) = 0

Solving each part separately

sec (t) - 2 = 0 or cot (t) + 1 = 0

sec (t) - 2 = 0 : t = \frac{π}{3} + 2 πn, t = \frac{5 π}{3} + 2 πn

cot (t) + 1 = 0 : t = \frac{3 π}{4} + πn

Combine all the solutions

t = \frac{π}{3} + 2 πn, t = \frac{5 π}{3} + 2 πn, t = \frac{3 π}{4} + πn

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Frequently Asked Questions (FAQ)

What is the general solution for (sec(t)-2)(cot(t)+1)=0 ?
The general solution for (sec(t)-2)(cot(t)+1)=0 is t= pi/3+2pin,t=(5pi)/3+2pin,t=(3pi)/4+pin