Evaluate `|[sin theta,cos theta],[-sin theta,cos theta]|`

Find the value of |[cos theta,-sin theta],[sin theta,cos theta]|

Evaluate sin theta.cos theta , if sin theta + cos theta= sqrt2 .

" (1) "|[cos theta,-sin theta],[sin theta,cos theta]|

If 4tan theta=3, evaluate (4sin theta-cos theta+1)/(sin theta+cos theta-1)

If 4tan theta=3 evaluate (4sin theta-cos theta+1)/(4sin theta+cos theta-1)

If f(theta)=|[cos^(2)theta,cos theta sin theta,-sin theta],[cos theta sin theta,sin^(2)theta,cos theta],[sin theta,-cos theta,0]| , then f((pi)/(12))

((sin theta+cos theta)^(2)-1)/(sin theta*cos theta)

(i) |(cos theta,-sin theta),(sin theta,cos theta)|

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] "then " f (pi/7) is

If theta=7.5^(@) Find the value of quad sin8 theta*cos theta-sin6 theta cos3 thetacos2 theta*cos theta-sin3 theta*sin4 theta