Find the value of `.^10C_0`

Find the value of .^20C_0

Find the value of .^100C_99

Find the value of .^5C_1

Find the value of .^(n-1)C_(n-1)

Area of the triangle with vertices (k,0),(1,1) and (0,3) is 5 sq. units. Find the values of k.

If sin(3x+10)=cos(x+24) then find the value of x.

If the function f(x)={{:((sin x)/(x) + cos x", if " x ne 0 ), (k", if " x =0 ):} is continuous at x=0, then find the value of k.

Find the value of: sin^-1(sin(frac{9pi}{10}))

Find the value of cos 130^@ + cos 110^@ + cos 10^@

Find the value of 1/(2sin10^@)-2sin70^@