Please help asap !!!!!!!!!
1 answer:
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Answer:
Step-by-step explanation:
We know that , so we need to multiply equation
by
.
This gives , which simplifies to
.
We know that , so we need to multiply equation
by
.
This gives , which simplifies to
.
Aha! Now we have a path to the solution!
We can subtract the first equation from the second to eliminate .
This gives , which simplifies to
.
We can then divide by to obtain
!
Then, we plug into the second equation to get
.
We can subtract from both sides to get
.
We then divide by to obtain
.
So, and
, and we're done!
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) =