Question

If sin theta = 21/29, evaluate sec theta/ tan theta-sin theta

plz send the correct answer
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Answer 1

Answer:

400/609

Step-by-step explanation:

sin theta=21/29

so, sin²theta=441/841.......(squaring)

cos²theta=1-sin²theta.......(sin²theta+cos²theta=1)

cos²theta=1-441/841

cos²theta=841-441/841

cos²theta=400/841

cos theta=20/29.......(talking square roots)

so, sec theta=1/20/29

sec theta=29/20.......(1)

tan theta=sin theta/cos theta

tan theta=21/29/20/29

tan theta=21/20......(2)

so,

sec theta/tan theta-sin theta

=29/20/21/20-21/29.....(from(1),(2) and given)

=29/21-21/29

by solving it we get,

400/609