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Nataly [62]
3 years ago
5

What is negative 13/7 minus negative 5/7

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0

Answer:-18/7

Step-by-step explanation:you add 13 and 5 because they are both negative then put a negative sign then your sum over 7

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Please help. How do you find cosine, sine, cosecant and secant with this triangle? ​
Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

  • sine (sin) = opposite/hypotenuse
  • cosine (cos) = adjacent/hypotenuse
  • tangent (tan) = opposite/adjacent
  • cosecant (cosec/csc) = hypotenuse/opposite
  • secant (sec) = hypotenuse/adjacent
  • cotangent (cot) = adjacent/opposite
  • cosecant is the reciprocal of sine
  • secant is the reciprocal of cosine
  • cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

  • Trigonometric Ratio
  • Adjacent = 12
  • Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

  • a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

  • 10²+12² = c²
  • 100+144 = c²
  • 244 = c²

Thus, the hypotenuse is:

\large \boxed{c = 2 \sqrt{61} }

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

  • cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = <u>(6√61) / 61</u>
  • sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = <u>(5√61) / 61</u>
  • cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = <u>√61/5</u>
  • secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = <u>√</u><u>61</u><u>/</u><u>6</u>

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

5 0
3 years ago
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Elan Coil [88]

Answer:

The slope intercept form is y=1/6x+1

Step-by-step explanation:

6 0
3 years ago
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| 2(4+6) = how do I solve this?​
podryga [215]

Answer:

20

Step-by-step explanation:

You use the distributive property.

Distribute the 2 to whatever is inside the parentheses. (You will multiply)

4×2=8

2×6=12

Substitute the answers above into the parentheses.

(8+12)=20

7 0
3 years ago
Can you divide a donut into 5 pieces (doesn't have to be equal)? If so could you explain or draw a diagram. using 2 straight cut
svp [43]

Answer:

no

Step-by-step explanation:

Its not possible to make 5 pieces with only 2 cuts. Anyway you use your two cuts would not result in 5 pieces

6 0
3 years ago
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What is the equation of a circle whose center is (2,0) and has a radius= 9?
Flauer [41]
The equation of a circle is: (x - h)² + (y - k)² = radius² where (h, k) is the center. Now just plug in your given information and simplify.

(x - 2)² + (y - 0)² = 9²

Your equation is:
(x - 2)² + y² = 81
6 0
3 years ago
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