AI explanations are generated using OpenAI technology. AI generated content may present inaccurate or offensive content that does not represent Symbolab's view.
Verify your Answer
Subscribe to verify your answer
Subscribe
Save to Notebook!
Sign in to save notes
Sign in
provar tan(x)−cot(x)tan(x)+cot(x)=2sin2(x)−1
Verify
Save
Solution
Verdadeiro
Show Steps
Hide Steps
Solution steps
Solve by:
One step at a time
tan(x)−cot(x)tan(x)+cot(x)=2sin2(x)−1
Manipular o lado direito
tan(x)−cot(x)tan(x)+cot(x)
Expresar com seno, cosseno
=−cos2(x)+sin2(x)cos2(x)+sin2(x)
Reeecreva usando identidades trigonométricas
=−1+2sin2(x)
=2sin2(x)−1
Demonstramos que os dois lados podem adquirir a mesma forma