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!
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:
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! :)
Answer:
y=x-5
Step-by-step explanation:
y=mx+b
-5=0(3)+b
0(3)-5=b
-5=b
y=x-5
Correct me if im wrong
The correct answer is: x = 8 (Option D)
Explanation:
Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).
It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,
BC = 20
FE = 3x - 4
Since,
BC = FE (By using congruence statement mentioned above)
20 = 3x - 4
3x = 20+4
3x = 24
x = 8
Hence the correct answer is: x = 8
Answer:
There will be 2 numbers of individual bags of chocolates left with Missy.
Step-by-step explanation:
Missy bought 4 bags of chocolates and there are 8 pieces of chocolates in each bag.
Therefore, there was a total (4× 8) = 32 chocolates.
Now, her kids ate 6 of the chocolates.
So, there remains (32 - 6) = 26 chocolates left.
If Missy packed the remaining chocolates into individual bags with 13 chocolates in each bag, then there will be numbers of individual bags of chocolates left with Missy. (Answer)
<u>Answer-</u>
The % error of this approximation is 1.64%
<u>Solution-</u>
Here,
And,
Taking (2, f(2)) as a point and slope as, f'(2), the function would be,
The value of f(2.1) will be
According to given function, f(2.1) will be,