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solve : (2tan30^@)/(1+tan^2 30^@)...

solve : `(2tan30^@)/(1+tan^2 30^@)`

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To solve the expression \(\frac{2 \tan 30^\circ}{1 + \tan^2 30^\circ}\), we will follow these steps: ### Step 1: Find the value of \(\tan 30^\circ\) We know that: \[ \tan 30^\circ = \frac{1}{\sqrt{3}} \] ...
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Choose the correct option and justify your choice : (i) (2tan30^@)/(1+tan^2 30^@) (a)\ sin 60^@ (b)\ cos 60^@ (c)\ t a n 60^@ (d)\ sin 30^@

Find the vlaue of (2tan30^(@))/(1-tan^(2) 30^(@)) .

( 2 tan 30° ) /( 1 + tan ^2 30 °) =

Prove that : tan(2 times 30^(@))=(2tan30^(@))/(1-tan^(2)30^(@))

Prove that : tan(2 times 30^(@))=(2tan30^(@))/(1-tan^(2)30^(@))

Prove that : sin(2 times 30^(@))=(2tan30^(@))/(1+tan^(2)30^(@))

Prove that : sin(2 times 30^(@))=(2tan30^(@))/(1+tan^(2)30^(@))

Verify that sin60^(@)=(2tan 30^(@))/(1+tan^(2)30^(@))

(2tan30^@)/(1-tan^2 30^@) is equal to (a) cos60^@ (b) sin60^@ (c) tan60^@ (d) sin30^@

Prove that : cos(2 times 30^(@))=(1-tan^(2)30^(@))/(1+tan^(2)30^(@))

NAGEEN PRAKASHAN ENGLISH-INTRODUCTION TO TRIGONOMETRY-Problems From NCERT/exemplar
  1. If /Aand /Bare acute angles such that cos A=cos B. then show that /A=...

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  2. Evaluate: (cos45)/(sec30+cosec30)

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  3. solve : (2tan30^@)/(1+tan^2 30^@)

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  4. If tan(A+B)=sqrt(3) and t a n(A B)=1/(sqrt(3)); 0o<A+Blt=90o;""...

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  5. In DeltaA B C , right-angled at B, A B"\ "="\ "5"\ "c m and /A C B=30...

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  6. In P Q R , right-angled at Q ,\ P Q=3c m and P R=6c m . Determine ...

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  7. Prove that : sqrt((1-cos^(2)theta)sec^(2)theta)=tantheta

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  8. Prove (tantheta+2)(2tantheta+1)=5tantheta+2sec^2theta.

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  9. If cosA+cos^(2)A=1, then prove that sin^(2)A+sin^(4)A=1.

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  10. Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2th...

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  11. Show that 1+cot^2alpha / (1+cosec alpha)=cosec alpha

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  12. (sinalpha + cosalpha)(tanalpha + cotalpha) = secalpha + cosecalpha

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  13. about to only mathematics

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  14. If 2sin^(2)theta-cos^(2)theta=2, then find the value of theta.

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  15. if tantheta+sectheta=l then prove that sectheta=(l^2+1)/(2l)

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  16. If asintheta+bcostheta=c then prove that acostheta-bsintheta=sqrt(a^2+...

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  17. If sintheta+costheta=pandsectheta+"cosec"theta=q then prove that q(p^(...

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  18. Prove that : tantheta+tan(90^(@)-theta)=sectheta*sec(90^(@)-theta)

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  19. Shown that : tan48^(@)tan23^(@)tan42^(@)tan67^(@)=1

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  20. If tan A= cot B. prove that : A+B=90^(@)

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