The answer to h) is 12k squared (to the second power) and the answer to i) is 24p cubed (to the third power)
The trigonometric ratio (trig ratio) for the angle in this right-angled triangle should be expressed as fractions in simplest terms as follows:
Sin(M) = 21/121
Cos(L) = 10/11
Tan(K) = 21/100
<h3>How to express the trig ratio as fractions?</h3>
In Mathematics, a trigonometric ratio (trig ratio) can be calculated by using this mnemonic SOHCAHTOA:
Sinθ = Opposite/Hypotenuse
Sin(M) = KM/ML
Sin(M) = √21/11
Taking the square of both the numerator and denominator, we have:
Sin(M) = (√21)²/11²
Sin(M) = 21/121
For the cosine of an angle in a right-angled triangle, we have:
Cosθ = Adjacent/Hypotenuse
Cos(L) = KL/ML
Cos(L) = 10/11
For the tangent of an angle in a right-angled triangle, we have:
Tanθ = Opposite/Adjacent
Tan(K) = KM/KL
Tan(K) = √21/10
Taking the square of both the numerator and denominator, we have:
Tan(K) = (√21)²/10²
Tan(K) = 21/100
Read more on trigonometric ratio here: brainly.com/question/26964482
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Answer:
In the photo
Step-by-step explanation:
If A and B are two different events then, P(A U B) = P(A) + P(B) - P(A ∩ B)
Explanation of the formula:
If you look at the Venn Diagram, if you add 2 areas : P(A) and P(B), P(A ∩ B) is overlapping. This is why you should remove P(A ∩ B).
However, in this case, we should find P(A ∩ B) and all the other values are given in the question. Hence, we implement them and find P(A ∩ B).
CosB = side adjacent to B/hypotenuse = BC/AB = 9/41