State if the given angles are coterminal. (i) `alpha=185^0,beta=-545^0` (ii) `alpha=(17pi)/(36),beta(161pi)/(36)`

State if the given pairs of angles are coterminal. (a) -185^@,535^@" (b) "1000^@,270^@" (c ) "(15pi)/4,-(17pi)/4

alpha, beta are roots of y^(2)-2y-7=0 find, (i) alpha^(2)+beta^(2) " (ii) " alpha^(3)+beta^(3)

If alpha, beta and gamma the roots of the equation x^(3) + 3x^(2) - 4x - 2 = 0. then find the values of the following expressions: (i) alpha ^(2) + beta^(2) + gamma^(2) (ii) alpha ^(3) + beta^(3) + gamma^(3) (iii) (1)/(alpha)+(1)/(beta)+(1)/(gamma)

If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0 , find the value of (i) (alpha)/(beta) + (beta)/(alpha) (ii) alpha-beta (iii) (alpha^(2))/(beta) + (beta^(2))/(alpha)

If alpha and beta are the roots of equation x^(2)-4x+1=0 , find (i) alpha^(2)+beta^(2) (ii) alpha^(3)+beta^(3)

Find the values of tan (alpha + beta) , given that cot alpha = (1)/(2) alpha in (pi, (3pi)/(2)) and sec beta = - (5)/(3), beta in ((pi)/(2),pi) .

If alpha and beta are the roots of the equation 3x^(2) - 6x + 1 = 0 form the equation whose roots are (i) alpha^(2) beta, beta^(2) alpha (ii) 2 alpha + beta, 2beta + alpha

If alpha and beta are the roots of quadratic equation x^(2)+5x-1=0 then, find (i) alpha^(3)+beta^(3) (ii) alpha^(2)+beta^(2)

If tanalpha=1/7,sin beta=1/(sqrt(10)), prove that alpha+2beta=pi/4