What's equivalent to = cos theta/1 - sin^2 theta?

note that the answer must be one of these choices:
a) cos theta
b) csc thata
c) tan theta
d) sec theta

note that the answer must be one of these choices:
a) cos theta
b) csc thata
c) tan theta
d) sec theta

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Nov 19, 2017

Answer:

d)

Explanation:

#costheta/(1-sin^2theta)#

#sin^2theta+cos^2theta=1# (Identity )

#:.# #1-sin^2theta=cos^2theta#

#costheta/(cos^2theta)=1/costheta=sectheta#

#sectheta=1/costheta# (Identity)

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Jim G. Share
Nov 19, 2017

Answer:

#secthetato(d)#

Explanation:

#"using the "color(blue)"trigonometric identities"#

#•color(white)(x)cos^2theta+sin^2theta=1#

#•color(white)(x)sectheta=1/costheta#

#rArr(costheta)/(1-sin^2theta)#

#=(costheta)/(cos^2theta)#

#=1/costheta#

#=sectheta#

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