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1 answer:
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The correct answers are:
1) sin(x) =
2) tan(x) =
Explanation:
Given:
Step 1:
Since, according to the Trigonometric identity:
-- (1)
Step 2:
Plug in the value of cos(x) in equation (1):
Step 3:
Take square-root on both sides:
sin(x) =
Now to find the tan(x), we would use the following formula:
tan(x) =
--- (2)
Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) =
Hence tan(x) =
1) sin(x) =
2) tan(x) =
Explanation:
Given:
Step 1:
Since, according to the Trigonometric identity:
Step 2:
Plug in the value of cos(x) in equation (1):
Step 3:
Take square-root on both sides:
sin(x) =
Now to find the tan(x), we would use the following formula:
tan(x) =
Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) =
Hence tan(x) =
Tripiling time is
t=time elapsed
r=tripling time
P=initial amount
so
when time is measured in minutes
if measured in hours then
or
t=time elapsed
r=tripling time
P=initial amount
so
when time is measured in minutes
if measured in hours then
Given:
Angled formed by ray BA and ray BC is 90 degrees.
To find:
The equation of line that bisects the angle formed by ray BA and ray BC.
Solution:
If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.
It is possible if the line passes though point B(-1,3) and other point (-2,4).
Equation of line is
Add 3 on both sides.
Therefore, the required equation of line is .