8. `1+sin^(2)alpha=3sin alpha cos alpha`,then values of `cot alpha` are (A) `-1,1,` (B) `0,1` (C) `1,2,` (D) `-1,-1`

If sin alpha sin beta - cos alpha cos beta + 1=0, then the value of 1+cot alpha tan beta is

If sin alpha.sinbeta - cos alpha.cos beta+1=0 , then find the value of cot alpha.tan beta .

sin alpha+sin beta=(1)/(4) and cos alpha+cos beta=(1)/(3) The value of cos(alpha+beta) is

If 0ltalphaltpi/4 then the range of cosec 2alpha-cot 2alpha is (A) (0,1) (B) [1,oo) (C) RR (D) [0,oo)

If alpha, betaepsilon(0, pi/2) and if sin^4alpha+4cos^4beta+2=4sqrt2 sinalphacosbeta then the value of cos(alpha+beta)-cos(alpha-beta) is (A) sqrt2 (B) 1/sqrt2 (C) -1/sqrt2 (D) -sqrt2

sin alpha+sinbeta=(1)/(4) and cos alpha+cos beta=(1)/(3) the value of sin(alpha+beta)

sin alpha+ sinbeta=(1)/(4) and cos alpha+cos beta=(1)/(3) The value of tan (alpha+beta) is

If sin alpha cos beta=-(1)/(2) then find the range of values of cos alpha sin beta

1/(tan3alpha-tanalpha)-1/(cot3alpha-cotalpha)=cot2alpha

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 - cos alpha + sinalpha)/(1 + sin alpha) is equal to