Answer:
x = 0, π/3, π, 5π/3
Step-by-step explanation:
sec(x)sin(x) - 2sin(x) = 0
factor out sin(x)
sin(x)[sec(x) - 2] = 0
then solve by splitting into two parts:
sin(x) = 0 and sec(x) - 2 = 0
x = 0, π and x = π/3, 5π/3 then plug in to original equation to check
Answer:
3/5
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
When x has a value between 0 and 90 the values of sin x ranges from 0, if x = 0 and 1 , if x = 90 degrees.
The cosine of x has the reverse value: cos x is 1 for x = 0 and 0 for x = 90 degrees.
At x = 45 the sine and cosine are equal in value.
So for sin x < cos x the value of x must be between 0 and 45 degrees.
So a possible value of x is 30 degrees.
When x = 30 sin x = 0.5 and cos x = 0.866.
You have to do 3.75-2.25=1.5 then 1.5/0.5 which means that x=3.