[" Calculate "tan alpha" if "cos alpha=-(sqrt(5))/(5)" and "],[alpha in(pi,(3 pi)/(2))]

Calculate tan alpha if cos alpha =- sqrt(5)/(5) and alpha in (pi (3pi)/(2))

Calculate tan((alpha)/(2)) if cos 2 alpha=7/32 and alpha in (-pi,-(3pi)/(4))

Calculate sin alpha if cos alpha=-9/11 and alpha in (pi,(3pi)/(2))

Calculate cos ((alpha)/(2)) if sin alpha=4/5 and alpha alpha in ((-3pi)/(2),-pi)

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) .

Prove that tan (alpha+ (pi)/(3)) tan (alpha-(pi)/(3))+ tan alpha tan (alpha+(pi)/(3)) +tan (alpha-(pi)/(3)) tan alpha+3=0

If 1+cos alpha+cos^(2)alpha+...=2-sqrt(2), then alpha(0

If 0

The expression (sin alpha+cos alpha)/(cos alpha-sin alpha) tan((pi)/(4)+alpha)+1, alpha in (-(pi)/(4), (pi)/(4)) simplifies to :