The corresponding angles and sides are congruent.
The tangent ratio is an illustration of the trigonometry identity
The value of x that is not a solution of tan(x) = 1 is 3
/4
<h3>How to determine the value that is not a solution</h3>
The trigonometry identity is given as:
tan(x) = 1
Next, we test the x values using a calculator.
When
, we have:
tan(-7
/4) = 1
When x = 3
/4, we have:
tan(3
/4) = -1
When x = 5
/4, we have:
tan(5
/4) = 1
When x =
/4, we have:
tan(
/4) = 1
Hence, the value of x that is not a solution of tan(x) = 1 is 3
/4
Read more about trigonometry identity at:
brainly.com/question/7331447
7 is incorrect. The answer should be -4. Here's how I'd derive it:

With
, we should expect
. If
, then

Also,

so we should expect
and

You seem to be taking

but this is not an identity.
###
8 is incorrect. Just a silly mistake, you swapped the order of the terms in the numerator. It should be

###
9. Use the identity from (7).
lies in the second quadrant, so

###
12.




###
13.




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14.



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15.



X= grade on next test
Add up all scores, divide by 6 and this equals the average of 84
(86 + 91 + 86 + 61 + 87 + x)/6= 84
add in parentheses
(411 + x)/6= 84
multiply both sides by 6
411 + x= 504
subtract 411 from both sides
x= 93
ANSWER: 93 is needed on the next test to have an average of 84
Hope this helps! :)