Question

What is 1-cos^2 23 degrees - cos^2 67 degrees ? Thanks!

Answer 1

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What is the value of cos^2 67°-sin^2 23?

Answer

42

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58 Answers

Rony Sharma, Lecturer at Indian Institute of Technology, Bombay (2012-present)

Answered April 2, 2018

Cos(67)-sin(23).

=cos(π/2-23)-sin(23).

=sin(23)-sin(23). [cos(π/2-23)=sin(23)

=0

OR

cos^2 67−sin^2 23

This can be written as:

sin^2(90–67) -sin^2 23

[As sin(90–α)=cos α]

So, sin^2 23−sin^2 23=0

Thus,the answer is 0.

Answer 2

Answer:

0

Step-by-step explanation:

cos ^2(90-23)

=sin^23

1-cos^23= sin^23

thus, sin^23-sin^23

=0