Math, asked by rcjaiyogeshwar4222, 10 months ago

Prove that Cos6A+Sin6A=1-3Sin2A*Cos2A

Answers

Answered by sandy1816

4

Step-by-step explanation:

cos^6A+sin^6A

=(cos²A)³+(sin²A)³

=(cos²A+sin²A)(cos⁴A-sin²Acos²A+sin⁴A)

=cos⁴A+sin⁴A-sin²Acos²A

=(cos²A+sin²A)²-2sin²Acos²A-sin²cos²A

=1-3sin²Acos²A

Previous Question

Next Question

Similar questions

Social Sciences, 5 months ago

explain how has the world become a better place through means of communication?

Accountancy, 5 months ago

8. Depreciation is charged on asset at a certain rate on: a) Down payment b) Cash price c) Principal d) None of the above...

Social Sciences, 5 months ago

राजनीति में महिलाओं की भागीदारी में सुधार लाने के लिए किन्हीं तीन कदमों का सुझाव दें...

Math, 10 months ago

Two or more fractions with different values are equivalent...

Social Sciences, 10 months ago

Roughage is a mainly made of any adjective carbon dioxide called...

Chemistry, 1 year ago

Use kinetic theory to explain what happens to particles of oxygen when it is cooled down ??

Physics, 1 year ago

The mass of the body on moon is 40kg, what is the weight on the earth. a. 240kg b. 392N c. 240N d. 400kg ans with explanation...

Biology, 1 year ago

How is ozone blanket useful to us...