anonymous
  • anonymous
Verify the identity. Show your work. cot θ ∙ sec θ = csc θ
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mathstudent55
  • mathstudent55
What are the cot and sec identities in terms of sin and cos? Substitute cot and sec on the left side using those identities.
anonymous
  • anonymous
i need help like step by step because I don't get it
mathstudent55
  • mathstudent55
The sine and cosine are simple trig functions. The other 4 trig functions can be written in terms of the sine and cosine like this: \(\tan \theta = \dfrac{\sin \theta}{\cos \theta}\) \(\cot \theta = \dfrac{\cos \theta}{\sin \theta}\) \(\sec \theta = \dfrac{1}{\cos \theta}\) \(\csc \theta = \dfrac{1}{\sin \theta}\)

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mathstudent55
  • mathstudent55
Do you understand so far?
mathstudent55
  • mathstudent55
Now look at the left side of the identity you want to prove. There is a cotangent and a secant. Using the 4 identities above that I gave you, replace both the cotangent and the secant by what they are equal to. Then simplify the left side. Then use another identity of the 4 above to prove the left side is equal to the right side.

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