Using trigonometric identities, it is found that the sine and the tangent of the angle are given as follows:
.
<h3>How do we find the sine of an angle given the cosine?</h3>
We use the following identity:
In this problem, the cosine is:
Hence the sine is found as follows:
Second quadrant, so the sine is positive, hence:
<h3>What is the tangent of an angle?</h3>
The tangent is given by the <u>sine divided by the cosine</u>, hence:
Hence:
More can be learned about trigonometric identities at brainly.com/question/7331447
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Answer:
0.3763
Step-by-step explanation:
Given :
- Students graduated = 71%
- Male students = 49%
- Female Students = 100% - 49% = 51%
- Female students out of graduated students = 53%
Prob (Female & Graduate) = Proportion of female of students who graduate who graduate
= 53% of 71% = 0.53 x 0.71 = 0.3763
Answer:
14
Divide
12 and 1 over 412
1
4
÷ 7 over 8
7
8
= 392 over 28
392
28
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
12 and 1 over 412
1
4
= ( 12 × 4 ) over 4
12 × 4
4
+ 1 over 4
1
4
= ( 48 + 1 ) over 4
48 + 1
4
= 49 over 4
49
4
Step 1 of 2: Divide, sub-step b: Divide.
Divide
49 over 4
49
4
÷ 7 over 8
7
8
= 49 over 4
49
4
× 8 over 7
8
7
= ( 49 × 8 ) over ( 4 × 7 )
49 × 8
4 × 7
= 392 over 28
392
28
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.Divide
12 and 1 over 412
1
4
÷ 7 over 8
7
8
= 392 over 28
392
28
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
12 and 1 over 412
1
4
= ( 12 × 4 ) over 4
12 × 4
4
+ 1 over 4
1
4
= ( 48 + 1 ) over 4
48 + 1
4
= 49 over 4
49
4
Step 1 of 2: Divide, sub-step b: Divide.
Divide
49 over 4
49
4
÷ 7 over 8
7
8
= 49 over 4
49
4
× 8 over 7
8
7
= ( 49 × 8 ) over ( 4 × 7 )
49 × 8
4 × 7
= 392 over 28
392
28
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.
