Question

solve this question guys​

Answer 1

Answer:

1

Step-by-step explanation:

see attachment

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Answer 2

Answer:

$\large\boxed{\sf{1}}$

Step-by-step explanation:

Given a 2×2 determinant

The value at (1,1) place = cos theta

The value at (1,2) place = - sin theta

The value at (2,1) place = sin theta

The value at (2,2) place = cos theta

Now, to find the value of determinant.

Multiply the [(1,1) × (2,2) ] and [(1,2) × (2,1)].

Then find the difference between them.

Therefore, we will get,

$= (\cos( \theta) \times \cos( \theta)) - ( - \sin( \theta) \times \sin( \theta) ) \\ \\ = { \cos }^{2} \theta + { \sin}^{2} \theta \\ \\ = 1$

Hence, the required value is 1.

$\bold\red{Note:-}$ Refer to the attachment.