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What is the value of sin27o×cos68osin22o×cos63o\frac{sin 27^o \times cos68^o}{sin22^o \times cos63^o}sin22o×cos63osin27o×cos68o​?​
Question

What is the value of sin27o×cos68osin22o×cos63o\frac{sin 27^o \times cos68^o}{sin22^o \times cos63^o}?​

A.

1

B.

2

C.

0

D.

12\frac{1}{2}​​

Correct option is A

Given:

sin27o×cos68osin22o×cos63o\frac{sin 27^o \times cos68^o}{sin22^o \times cos63^o}

Formula Used:

sin(Θ)=cos(90Θ)\sin(\Theta) = \cos(90^\circ - \Theta) 

sin 27°=cos(9027)°=cos63°\degree= cos(90-27)\degree = cos 63\degree

sin 22°=cos(9022)°=cos68°\degree= cos(90-22)\degree = cos 68\degree 

Solution:

sin27o×cos68osin22o×cos63o =cos63o×cos68ocos68o×cos63o=1\frac{sin 27^o \times cos68^o}{sin22^o \times cos63^o}\\\ \\=\frac{cos63^o \times cos68^o}{cos68^o \times cos63^o}\\=1​​

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