Question

what is value of cos²67°-sin²23°

Answer 1

Hey... I think this can be ur answer dear!!
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Cos 2 67 - sin2 23
= cos2(90 - 23) - sin2 23
= sin2 23 - sin 2 23
=0
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Hope it helps you dear ☺️☺️☺️

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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