ABC ,⊿PQR,select an angle ∠ACB =θ
LET θ’s (opp,adj,hypo)=(AB,BC,AC) and (PQ,QR,PR)
Then by similarity,
sinθ=AB/AC=PQ/PR ,cosθ=BC/AC=QR/PR ,tanθ=AB/BC=PQ/QR
the corresponding ratio of (adjacent side/hypotenuse),and hence
the cosine ratio must be the same
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Answer: yes
Step-by-step explanation:
Answer:
i x = 0
ii x = 5,9
iii y = 12
iv y = 0
Step-by-step explanation:
0 = 12x²/(x - 5)(x - 9)
0 = 12x²
0 = x²
x = 0
ii vertical asymptotes at x = 5, 9
asymptotes occur as either term (x - 5)(x - 9) approaches zero
iii horizontal asymptote y = 12
function essentially becomes 12(∞²)/∞² = 12(1) as x goes to ±∞
iv y = 0 where x = 0
Answer:
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Step-by-step explanation:
It is given in the question that
Abbie decides to start doing crunches as part of her daily workout. She decides to do 10 crunches the first day and then increase the number 2 each day after that.
So the sequence of number of crunches are

Here the first term, a , ia 10 and the constant difference,d, is 2.
To find the nth term, we use the formula of nth term of arithmetic series, which is

Substituting the values of a and d, we will get

Therefore , correct option is d .