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elena-14-01-66 [18.8K]
3 years ago
14

Find the value of x for which / || m

Mathematics
1 answer:
Tresset [83]3 years ago
7 0

Answer:

Step-by-step explanation:

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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                                                                                                                    
Elina [12.6K]
They have the same volume, so it's not a or d, but the surface area of a is 104, and the surface area of b is 94, so the answer is B.
Hope i helped! i also have this question in k12.<span />
3 0
3 years ago
Consider the equation x +1 = 2.
kiruha [24]

Answer:

x^2 + 2x +1  = 2x + 2

Step-by-step explanation:

(x+1) = 2

multiplying both sides by x +1

(x +1) (x+1) = 2 (x+1)

x^2 + 2x +1  = 2x + 2

6 0
3 years ago
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Rational number are ___ natural numbers?<br> Always <br> Sometimes<br> Never
netineya [11]
Rational numbers are Sometimes natural numbers 
hope this helps :D
3 0
3 years ago
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What is the value of a?<br><br><br><br><br> 27.5<br><br><br> 45<br><br><br> 90<br><br><br> 50
Valentin [98]
90. The measure of an inscribed angle is half of that of the measure of its arc, and the measure of the angle corresponding with arc a is 45. 45*2 is 90, so 90 is the measure of arc a.
7 0
3 years ago
Read 2 more answers
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