sqrt3 sec theta + sec theta cot theta = 0
Do you mean
√(3secθ+secθcotθ)=0?
Find the solutions to the following equation on the interval (-inf, +inf). Round your answer to the nearest ten thousandth. Enter answers in increasing order.
5) sqrt3 sec theta + sec theta cot theta = 0
2 answers
I read it as
√3 secθ+secθcotθ=0
then:
secθ(√3 + cotθ) = 0
secθ = 0 <------ no solution
or
cotθ = -1/√3
tanθ = -1/√3
θ = 150° or 330° OR θ = 5π/6 or 11π/6 radians
looks good at Wolfram:
https://www.wolframalpha.com/input/?i=graph+y+%3D+%E2%88%9A3+sec%CE%B8%2Bsec%CE%B8cot%CE%B8
I will let you state the general solution since the domain is the set of all real θ's
√3 secθ+secθcotθ=0
then:
secθ(√3 + cotθ) = 0
secθ = 0 <------ no solution
or
cotθ = -1/√3
tanθ = -1/√3
θ = 150° or 330° OR θ = 5π/6 or 11π/6 radians
looks good at Wolfram:
https://www.wolframalpha.com/input/?i=graph+y+%3D+%E2%88%9A3+sec%CE%B8%2Bsec%CE%B8cot%CE%B8
I will let you state the general solution since the domain is the set of all real θ's
1 answer