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A का मूल्य क्या है?

A=(cosθsin(90+θ)+sin(θ)sin(180+θ)tan(90+θ)cotθ)?A=left(frac{cos heta}{sin left(90^{circ}+ heta ight)}+frac{sin (- heta)}{sin left(180^{circ}+ heta ight)}-frac{ an left(90^{circ}+ heta ight)}{cot heta} ight) ?

a

4

b

2

c

1

d

3

Answer : Option D
Explanation :

cosθsin(90+θ)+sin(θ)sin(180+θ)tan(90+θ)cotθfrac{cos heta}{sin left(90^{circ}+ heta ight)}+frac{sin (- heta)}{sin left(180^{circ}+ heta ight)}-frac{ an left(90^{circ}+ heta ight)}{cot heta}

=cosθcosθ+(sinθsinθ)+cotθcotθ=1+1+1=frac{cos heta}{cos heta}+left(frac{-sin heta}{-sin heta} ight)+frac{cot heta}{cot heta}=1+1+1

=3=3

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