Question

find the value of cos^2 67° - sin^2 23°

Answer 1

Here is the stepwise solution.... hope u find it useful...
cos²67 - sin²23 = cos²67 - cos²67 becoz sin(90-A) = cosA
cos²67 - cos²67 = 0

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Answer 2

To find:

Cos^2 67 -  Sin^2 23

Solution:

By formula,

Cos^2A - Sin^2B = Cos ( A + B ) * Cos ( A - B )

Here,

A = 67

B = 23  

Substituting,

We get,

Cos (67 + 23 ) * Cos( 67 - 23 )

Cos ( 90 ) * cos ( 45  )

Substituting values,

0 * 1/√2 .

Hence, Cos^2 67 -  Sin^2 23 = 0

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