CBSE Class 12 Math 2012 Solved Paper

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Question : 8
Total: 29
Simplify: cos θ |
cosθsinθ
sinθcosθ
|
+ sin θ |
sinθcosθ
cosθsinθ
|
Solution:  
cos θ |
cosθsinθ
sinθcosθ
|
+ sin θ |
sinθcosθ
cosθsinθ
|

= |
cos2θcosθsinθ
sinθcosθcos2θ
|
+ |
sin2θsinθcosθ
sinθcosθsin2θ
|

=
|
cos2θ+sin2θcosθsinθsinθcosθ
sinθcosθ+cosθsinθcos2θ+sin2θ
|

= |
10
01
|
[Since cos2θ+sin2θ = 1]
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