#### Question

Evaluate the determinants in Exercises 1 and 2.

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

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#### Solution

`|(cos theta, -sin theta),(sin theta, cos theta)|`= (cos *θ*)(cos *θ*) − (−sin *θ*)(sin *θ*) = cos^{2} *θ*+ sin^{2} *θ* = 1

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#### Reference Material

Solution for question: Evaluate the Determinants |(Cos Theta, -sin Theta),(Sin Theta, Cos Theta)| concept: null - Determinants of Matrix of Order One and Two. For the courses CBSE (Arts), CBSE (Science), CBSE (Commerce)