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Pls help me with the problem i Don't get it

Pls help me with the problem i Don't get it-example-1

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Answer:

2csc2x

Explanation:

cotx=cosx/sinx

tanx=sinx/cosx

using trig identities:

cotx+tanx = (cos^2x+sin^2x)/(sinxcosx)

= 1/(sinxcosx)

=2/(2sinxcosx)

=2/sin2x

=2csc2x

User Danielstn
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