Tan²( θ ) - (1 + √3) tan (θ) + √3 = 0
tan²( θ ) - (tan (θ) + √3 tan (θ)) + √3 = 0
tan²( θ ) - tan (θ) - √3 tan (θ) + √3 = 0
tan( θ ) ( tan (θ) - 1) - √3 ( tan (θ) - 1 ) = 0
( tan( θ ) - 1 ) ( tan( θ ) - √3 ) = 0
tan( θ ) - 1 = 0
θ = π/₄
tan( θ ) - √3 = 0
θ = π/₃
so θ = π/₄ and θ = π/₃
Answer:
2
Step-by-step explanation:
slope=rise/run=20/10=2/1=2.
Answer:
C = 314 meters
Step-by-step explanation:
When we go around a circle, we are trying to find the circumference
The circumference is
C= pi *d
C = pi *100
Let pi = 3.14
C = 3.14*100
C = 314 meters
Answer:
The ranges of g(x) and f(x) are the same and their domains are also the same.
Step-by-step explanation:
The function g(x) is the function f(x) multiplied by 35 and later translated twice, first 6 units up and later 8 units down. Since, both expressions are linear functions, both are continuous and both have the same domains and range due to constant slope.
Hence, the ranges of g(x) and f(x) are the same and their domains are also the same.
Answer:
Step-by-step explanation: