Given that (tan x = frac{5}{12}), and (tan y = frac{3}{4}), Find (tan (x +…
Given that (tan x = frac{5}{12}), and (tan y = frac{3}{4}), Find (tan (x + y)). A. (frac{16}{33})…
Evaluate (cos 75°), leaving the answer in surd form.
Evaluate (cos 75°), leaving the answer in surd form. A. (frac{sqrt{2}}{2}(sqrt{3} + 1)) B. (frac{sqrt{2}}{4}(sqrt{3} – 1)) C.…
If (P = begin{pmatrix} 1 & 2 \ 5 & 1 end{pmatrix}) and (Q =…
If (P = begin{pmatrix} 1 & 2 \ 5 & 1 end{pmatrix}) and (Q = begin{pmatrix} 0 &…
If (begin{vmatrix} m-2 & m+1 \ m+4 & m-2 end{vmatrix} = -27), find the value…
If (begin{vmatrix} m-2 & m+1 \ m+4 & m-2 end{vmatrix} = -27), find the value of m. A.…
Given that (-6, -2frac{1}{2}, …, 71) is a linear sequence , calculate the number of…
Given that (-6, -2frac{1}{2}, …, 71) is a linear sequence , calculate the number of terms in the…
The 3rd and 6th terms of a geometric progression (G.P.) are (frac{8}{3}) and (frac{64}{81}) respectively,…
The 3rd and 6th terms of a geometric progression (G.P.) are (frac{8}{3}) and (frac{64}{81}) respectively, find the common…
Find the fourth term in the expansion of ((3x – y)^{6}).
Find the fourth term in the expansion of ((3x – y)^{6}). A. (-540x^{3}y^{3}) B. (-540x^{4}y^{2}) C. (-27x^{3}y^{3}) D.…
Find the coefficient of (x^{3}) in the expansion of ([frac{1}{3}(2 + x)]^{6}).
Find the coefficient of (x^{3}) in the expansion of ([frac{1}{3}(2 + x)]^{6}). A. (frac{135}{729}) B. (frac{149}{729}) C. (frac{152}{729})…
Given n = 3, evaluate (frac{1}{(n-1)!} – frac{1}{(n+1)!})
Given n = 3, evaluate (frac{1}{(n-1)!} – frac{1}{(n+1)!}) A. (12) B. (2frac{1}{2}) C. (2) D. (frac{11}{24}) Correct Answer:…
Simplify (frac{^{n}P_{5}}{^{n}C_{5}}).
Simplify (frac{^{n}P_{5}}{^{n}C_{5}}). A. 80 B. 90 C. 110 D. 120 Correct Answer: Option D Explanation (frac{^{n}P_{5}}{^{n}C_{5}} = frac{n!}{(n-5)!} ÷…