If x = 30∘, verify that : tan2x=1−tan2x2tanxif true then write 1 and if false then write 0

Given: x=300,To Prove: tan2x=1−tan2x2tanxL.H.S: tan2x=tan600=3R.H.S: 1−tan2x2tanx= 1−tan23002tan300= 1−(31)22(31)= 322(31)= 3Thus, L.H.S.=R.H.SHence 1 is answer

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If x = 30^{}, verify that : ,tan,2x,=,{2,tan,x}{1,-,tan^{2},x

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If x = $3 0^{\circ}$ , verify that :
$t an 2 x = \frac{2 t an x}{1 - t a n ^{2} x}$
if true then write 1 and if false then write 0

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If x =

3 0^{\circ}

, verify that :

t an 2 x = \frac{2 t an x}{1 - t a n ^{2} x}

if true then write 1 and if false then write 0

5 mins ago

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5 mins ago

Text solutionVerified

Given:

x = 3 0^{0}

,

To Prove:

tan 2 x = \frac{2 tan x}{1 - tan ^{2} x}

L.H.S:

tan 2 x = tan 6 0^{0} = 3

R.H.S:

\frac{2 t a n x}{1 - t a n ^{2} x}

\frac{2 t a n 3 0 ^{0}}{1 - t a n ^{2} 3 0 ^{0}}

\frac{2 ( \frac{1}{3} )}{1 - ( \frac{1}{3} ) ^{2}}

\frac{2 ( \frac{1}{3} )}{\frac{2}{3}}

3

Thus,

L . H . S . = R . H . S

Hence 1 is answer

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Question Text	If x = $3 0^{\circ}$ , verify that : $t an 2 x = \frac{2 t an x}{1 - t a n ^{2} x}$ if true then write 1 and if false then write 0
Answer Type	Text solution:1
Upvotes	150

If x = 30∘, verify that : tan2x=1−tan2x2tanx​if true then write 1 and if false then write 0

Text solutionVerified

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If x = $3 0^{\circ}$ , verify that :
$t an 2 x = \frac{2 t an x}{1 - t a n ^{2} x}$
if true then write 1 and if false then write 0