Evaluate the following: ` |[tanalpha, cosecalpha],[sinalpha, cotalpha]| `

Evaluate the following: |[cosalpha, sinalpha],[sinalpha, cosalpha]|

Evaluate the following: |[cosalpha, sinalpha],[sinalpha, cosalpha]|

Answer the following questions.If A=[[cosalpha,-sinalpha],[sinalpha,cosalpha]] and A+A^T=I ,where I is unit matrix 2x2,then find the value of alpha

Prove the following identities: sinalpha cosalpha(tanalpha-cotalpha)=2sin^2alpha-1

Find the adjoint of the following matrices: [(cosalpha,sinalpha),(sinalpha,cosalpha)] (ii) [(1,tanalpha//2),(-tanalpha//2, 1)] Verify that (a d j\ A)A=|A|I=A(a d j\ A) for the above matrices.

Evaluate: =|[0,sinalpha,-cosalpha],[-sinalpha,0,sinbeta],[cosalpha,-sinbeta,0]|

If tanalpha+cotalpha=2 , then

If tanalpha+cotalpha=2 , then

Prove the following identities: (sinalpha+cosecalpha)^2+(cosalpha+secalpha)^2=tan^2alpha+cot^2alpha+7

Evaluate Delta=|0sinalpha-cosalpha-sinalpha0sinbetacosalpha-sinbeta0|