`" Locus of the point ",[(r sec alpha*cos beta,r sec alpha*sin beta,r tan alpha) is"`

Find the value of, cos alpha cos beta, cos alpha sin beta, -no alpha-sin beta, cos beta, 0 sin alpha cos beta, sin alpha sin beta, cos alpha] |

alpha& beta are solutions of a cos theta+b sin theta=c(cos alpha!=cos beta)&(sin alpha!=sin beta) Then tan((alpha+beta)/(2))=?

If tan alpha = n tan beta and sin alpha = m sin beta , then cos^2 alpha is

.If alpha+beta=90^(@), show that sqrt(cos alpha*csc beta-cos alpha*sin beta) = sin alpha

If x=r cos alpha cos beta,y=r cos alpha sin beta,z=r sin alpha then x^(2)+y^(2)+z^(2) =

Evaluate: quad =|cos alpha cos beta cos alpha sin beta-sin alpha-sin beta cos beta0sin alpha cos beta sin alpha sin beta cos alpha|

Evaluate ,,,|cos alpha cos beta,cos alpha sin beta,-sin alpha-sin beta,cos beta,0sin alpha,cos beta,sin alpha sin beta,cos alpha]|

det[[cos alpha cos beta,cos alpha sin beta,-sin alpha-sin beta,cos beta,0sin alpha cos beta,sin alpha sin beta,cos alpha]]

Prove that cos(alpha-beta)/(cos alpha sin beta)=tan alpha+cot beta

Locus of the point of intersection of lines x cos alpha+y sin alpha=a and x sin alpha-y cos alpha=a(alpha in R) is