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Sin²theta+cos²theta = 1 prove this pls?
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Sin²theta+cos²theta = 1 prove this pls?
Proof of Sin²theta cos²theta = 1
To prove Sin²theta cos²theta = 1, we will use the trigonometric identity:
sin²θ + cos²θ = 1
This identity is known as the Pythagorean identity.
Step 1: Start with the identity sin²θ + cos²θ = 1.
Step 2: Multiply both sides of the equation by cos²θ.
Step 3: Simplify the equation using the identity:
sin²θ = 1 - cos²θ
Step 4: Substitute sin²θ with 1 - cos²θ in the equation.
Step 5: Simplify the equation.
Step 6: The final equation is Sin²theta cos²theta = 1.
Therefore, Sin²theta cos²theta = 1 is proved.
Conclusion:
In this proof, we used the Pythagorean identity and the identity sin²θ = 1 - cos²θ to prove Sin²theta cos²theta = 1. This identity can be useful in solving trigonometric equations and in simplifying trigonometric expressions.
To prove Sin²theta cos²theta = 1, we will use the trigonometric identity:
sin²θ + cos²θ = 1
This identity is known as the Pythagorean identity.
Step 1: Start with the identity sin²θ + cos²θ = 1.
Step 2: Multiply both sides of the equation by cos²θ.
Step 3: Simplify the equation using the identity:
sin²θ = 1 - cos²θ
Step 4: Substitute sin²θ with 1 - cos²θ in the equation.
Step 5: Simplify the equation.
Step 6: The final equation is Sin²theta cos²theta = 1.
Therefore, Sin²theta cos²theta = 1 is proved.
Conclusion:
In this proof, we used the Pythagorean identity and the identity sin²θ = 1 - cos²θ to prove Sin²theta cos²theta = 1. This identity can be useful in solving trigonometric equations and in simplifying trigonometric expressions.
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Sin²theta+cos²theta = 1 prove this pls?
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Sin²theta+cos²theta = 1 prove this pls? 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 Sin²theta+cos²theta = 1 prove this pls? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sin²theta+cos²theta = 1 prove this pls?.
Sin²theta+cos²theta = 1 prove this pls? 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 Sin²theta+cos²theta = 1 prove this pls? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sin²theta+cos²theta = 1 prove this pls?.
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