The distance between the points `(a cosalpha, a sinalpha)` and `(a cosbeta, a sinbeta)` where a> 0

costheta-sintheta=cosalpha-sinalpha

If the points A(0,0),B(cosalpha,sinalpha) , and C(cosbeta,sinbeta) are the vertices of a right- angled triangle, then

If sin alpha=sinbeta and cos alpha=cosbeta, then

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

If sinbeta is the harmonic mean of sinalpha and cosalpha , and sintheta is the arithmetic mean of sinalpha" and "cosalpha , then which of the following is/are correct? 1. sqrt(2)sin(alpha+(pi)/(4))sinbeta=sin2alpha 2. sqrt(2)sintheta=cos(alpha-(pi)/(4)) Select the correct answer using the code given below:

If A=[[cosalpha, sinalpha], [-sinalpha, cosalpha]] , then A^(10)=

The line ax + by + c = 0 intersects the line x cosalpha + y sinalpha=c at the point P and angle between them is pi/4 . If the line x sinalpha - y cosalpha = 0 also passes through the point P, then: