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Show that: t a n(60^0+theta)t a n(60^0-t...

Show that: `t a n(60^0+theta)t a n(60^0-theta)=(2cos2theta+1)/(2cos2theta-1)`

A

`(2 cos 2A +1)/(2 cos 2A-1)`

B

`(2 cos 2 A-1)/(2 cos 2 A+1)`

C

`(cos 2 A+21)/(cos 2 A -1)`

D

`( cos 2 A -1)/(cos 2 A + 21)`

Text Solution

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The correct Answer is:
A
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cos(60^(@)-theta)cos(60^(@)+theta)=(1)/(4)(4cos^(2)theta-3)

For a positive integer n, let f_(n)(theta)=(2cos theta+1)(2cos theta-1)(2cos2 theta-1)(2cos(2^(2))theta-1)...(2cos(2^(n-1))theta-1) Which one of the following hold(s) good?

cos^(2)theta-sin theta.cos theta-(1)/(2)=0

cos^(2)theta-sin theta*cos theta-(1)/(2)=0

cos^(2)theta-sin theta*cos theta-(1)/(2)=0

cos^(2)theta-sin theta*cos theta-(1)/(2)=0

cos^(2)theta-sin theta*cos theta-(1)/(2)=0

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -CRITICAL THINKING
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