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How to do this trig identity?

+1 vote
Tan o - sec o/ sin o

The Os are supposed to be thetas and the answer is -cot o.
Word form is tan theta minus sec theta over sin theta
asked May 31, 2013 in TRIGONOMETRY by linda Scholar

1 Answer

+1 vote

Given tano - seco/sino

From trigonometric identities tano = sino/coso

Seco = 1/coso

Substitute in above equation

sino/coso - (1/coso)/sino

sino/coso - 1/(coso*sino)

Taking L . C. M , 

Sin^2o - 1/(coso*sino) ----------------(1)

Also we know that sin^2o + cos^2o = 1

Subtracting 1 - cos^2o from each side

sin^20 - 1 = - cos^2o

Subtitute sin^2o - 1 = - cos^2o in (1)

- cos ^2o/(coso*sino)

- coso/sino

- coto

 

answered Jun 1, 2013 by jeevitha Novice

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