Verify the identity , justify each step

tanØ+cotØ = 1/ sin Ø cosØ

3 answers

use the identities
tanφ=sinφ/cosφ
cotφ=cosφ/sinφ
sin²φ+cos²φ=1

tanφ+cotφ
=sinφ/cosφ+cosφ/sinφ
=(sin²φ+cos²φ)/(sinφcosφ)
=1/(sinφcosφ)

Thanks you

You're welcome!

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