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If sin a-cos a=0 then the value of sin^8a cos^8a is?
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If sin a-cos a=0 then the value of sin^8a cos^8a is?
Given: sin a - cos a = 0
To find: The value of sin^8a * cos^8a
Explanation:
To find the value of sin^8a * cos^8a, we need to simplify the expression using the given equation sin a - cos a = 0.
Step 1: Simplify the given equation
sin a - cos a = 0
sin a = cos a
Step 2: Rewrite sin a and cos a in terms of tan a
sin a = cos a
sin a = sin (90° - a)
Step 3: Use the identity sin (90° - a) = sin a to rewrite the expression
sin a = sin a
sin^8a * cos^8a = sin^8a * sin^8a
sin^8a * cos^8a = sin^16a
Step 4: Simplify sin^16a
Using the identity (sin a)^n = (sin a)^(n mod 4), where n is a positive integer,
sin^16a = sin^(16 mod 4)a
sin^16a = sin^0a
sin^16a = 1
Step 5: Substitute the value back into the expression
sin^8a * cos^8a = 1
Conclusion:
The value of sin^8a * cos^8a is 1.
To find: The value of sin^8a * cos^8a
Explanation:
To find the value of sin^8a * cos^8a, we need to simplify the expression using the given equation sin a - cos a = 0.
Step 1: Simplify the given equation
sin a - cos a = 0
sin a = cos a
Step 2: Rewrite sin a and cos a in terms of tan a
sin a = cos a
sin a = sin (90° - a)
Step 3: Use the identity sin (90° - a) = sin a to rewrite the expression
sin a = sin a
sin^8a * cos^8a = sin^8a * sin^8a
sin^8a * cos^8a = sin^16a
Step 4: Simplify sin^16a
Using the identity (sin a)^n = (sin a)^(n mod 4), where n is a positive integer,
sin^16a = sin^(16 mod 4)a
sin^16a = sin^0a
sin^16a = 1
Step 5: Substitute the value back into the expression
sin^8a * cos^8a = 1
Conclusion:
The value of sin^8a * cos^8a is 1.
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If sin a-cos a=0 then the value of sin^8a cos^8a is?
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If sin a-cos a=0 then the value of sin^8a cos^8a is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If sin a-cos a=0 then the value of sin^8a cos^8a is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sin a-cos a=0 then the value of sin^8a cos^8a is?.
If sin a-cos a=0 then the value of sin^8a cos^8a is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If sin a-cos a=0 then the value of sin^8a cos^8a is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sin a-cos a=0 then the value of sin^8a cos^8a is?.
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