If vectos `b=(tanalpha,-1,2sqrt(sinalpha//2))` and `c=(tanalpha,tanalpha,-(3)/(sqrt(sinalpha//2)))` are orthogonal and vectors `a=(1,3,sin2alpha)` makes an obtuse angle with the Z-axis, then the value of `alpha` is

If vector vec b=(t a nalpha,-1, 2sqrt(sinalpha//2))a n d vec c=(t a nalpha, t a nalpha, -3/(sqrt(sinalpha//2))) are orthogonal and vector vec a=(1,3,sin2alpha) makes an obtuse angle with the z-axis, then the value of alpha is

If vector vec b=(t a nalpha,-1, 2sqrt(sinalpha//2))a n d vec c=(t a nalpha, t a nalpha, -3/(sqrt(sinalpha//2))) are orthogonal and vector vec a=(1,3,sin2alpha) makes an obtuse angle with the z-axis, then the value of alpha is

If vector vec b=(t a nalpha,-1, 2sqrt(sinalpha//2))a n d vec c=(t a nalpha, t a nalpha, 3/(sqrt(sinalpha//2))) are orthogonal and vector vec a=(1,3,sin2alpha) makes an obtuse angle with the z-axis, then the value of alpha is a alpha=tan^(-1)2 b. alpha=-tan^(-1)2 c. alpha=tan^(-1)2 d. alpha=tan^(-1)2

If vector vec b=(t a nalpha,-1,2sqrt(sinalpha//2))a n d vec c=(t a nalpha, t a nalpha, -3/(sqrt(sinalpha//2))) are orthogonal and vector vec a=(1,3,sin2alpha) makes an obtuse angle with the z-axis, then the value of alpha is a. alpha=(4n+1)pi+tan^(-1)2 b. alpha=(4n+1)pi-tan^(-1)2 c. alpha=(4n+2)pi+tan^(-1)2 d. alpha=(4n+2)pi-tan^(-1)2

If vector vec b=(t a nalpha,-1, 2sqrt(sinalpha//2))a n d vec c=(t a nalpha, t a nalpha, 3/(sqrt(sinalpha//2))) are orthogonal and vector vec a=(1,3,sin2alpha) makes an obtuse angle with the z-axis, then the value of alpha is alpha=(4n+1)pi+tan^(-1)2 b. alpha=(4n+1)pi-tan^(-1)2 c. alpha=(4n+2)pi+tan^(-1)2 d. alpha=(4n+2)pi-tan^(-1)2

If vector vec b=(t a nalpha,-12sqrt(sinalpha//2))a n d vec c=(t a nalpha, t a nalpha-3/(sqrt(sinalpha//2))) are orthogonal and vector vec a=(13,sin2alpha) makes an obtuse angle with the z-axis, then the value of alpha is alpha=(4n+1)pi+tan^(-1)2 b. alpha=(4n+1)pi-tan^(-1)2 c. alpha=(4n+2)pi+tan^(-1)2 d. alpha=(4n+2)pi-tan^(-1)2

If the vectors barb=(tan alpha, -1, sqrt(4"sin"(alpha)/(2))), barc=(tan alpha, tan alpha, (-3)/(sqrt("sin"(alpha)/(2)))) are orthogonal and the vector bara=(1,3, sin 2alpha) makes an obtuse angle with Z-axis then alpha=

If the vectors vecb = tanalpha hati = hatj+2, sqrt(sinalpha/2hatk) , and vecc=tan alpha hati + tan alpha hatj-3/sqrt(sin alpha/2)hatk are orthogonal and a vector veca = hati + 3hatj + sin 2alpha hatk makes an obtuse angle with the z-axis, then the value of alpha is

tan2alpha-tanalpha(1+sec2alpha)=

If acos2theta+b sin2theta=c has alpha and beta as its solution, then the value of tanalpha+tanbeta is