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यदि cosC – cosD = y, तो y का मूल्य है

a

2sin(C+D2)sin(CD2)2 sin left(frac{mathrm{C}+mathrm{D}}{2} ight) cdot sin left(frac{mathrm{C}-mathrm{D}}{2} ight)

b

2cos(C+D2)cos(CD2)-2 cos left(frac{mathrm{C}+mathrm{D}}{2} ight) cdot cos left(frac{mathrm{C}-mathrm{D}}{2} ight)

c

2cos(C+D2)cos(CD2)2 cos left(frac{mathrm{C}+mathrm{D}}{2} ight) cdot cos left(frac{mathrm{C}-mathrm{D}}{2} ight)

d

2sin(C+D2)sin(CD2)-2 sin left(frac{mathrm{C}+mathrm{D}}{2} ight) cdot sin left(frac{mathrm{C}-mathrm{D}}{2} ight)

Answer : Option D
Explanation :

यहाँ,

cosC – cosD = y

y=cosCcosDRightarrow y=cos mathrm{C}-cos mathrm{D}

y=2sinRightarrow y=-2 sin

(C+D2)sin(CD2)left(frac{mathrm{C}+mathrm{D}}{2} ight) cdot sin left(frac{mathrm{C}-mathrm{D}}{2} ight)

[quad[ecause

यह cosCcosD]cos mathrm{C}-cos mathrm{D}] का मूल सूत्र है

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