Math, asked by chetanm1227, 9 months ago

Cos square 15 degree + cos square 25 degree + cos square 65 + cos square 75 degree

Answers

Answered by vishwa111103
10

Answer:

Answer = 2

Step-by-step explanation:

cos^2(15)= sin^2(90-15)

= sin^2(75)

cos^2(25)= sin^2(90-25)

= sin^2(65)

putting the values of cos^2(15) and cos^2(25) from above equations in the question, we get:-

cos^2( 15) +cos^2 (25) + cos^2(65) + cos^2(75)=

sin^2(75) + sin^2(65) + cos^2(65) + cos^2(75)=

trigonometric identity (cos^2theta + sin^2 theta = 1)

sin^2(75) + cos^2(75) + cos^2(65) + sin^2(65)= 2

the answer is 2

Answered by hwjwcwwnwbwb
0

Answer:

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Step-by-step explanation:

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