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If sqrt(3)tantheta=1 then find value of ...

If `sqrt(3)tantheta=1` then find value of `sin^2theta-cos^2theta`

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To solve the problem \( \sqrt{3} \tan \theta = 1 \) and find the value of \( \sin^2 \theta - \cos^2 \theta \), we can follow these steps: ### Step 1: Solve for \( \tan \theta \) Given: \[ \sqrt{3} \tan \theta = 1 \] We can isolate \( \tan \theta \): ...
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If sin theta_1 + sintheta_2 + sin theta_3 = 3 then find the value of cos theta_1 + cos theta_2 + cos theta_3.

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NAGEEN PRAKASHAN ENGLISH-INTRODUCTION TO TRIGONOMETRY-Problems From NCERT/exemplar
  1. If tanA=(3)/(4), then show that sin A cos A=(12)/(25)

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  2. If sqrt(3)tantheta=1 then find value of sin^2theta-cos^2theta

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  3. given : 15 cotA = 8 find sinA and secA

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  4. If s in A=3/4 , calculate cos A and tan A.

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  5. If /Aand /Bare acute angles such that cos A=cos B. then show that /A=...

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

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

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

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

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

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

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

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

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

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

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

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  17. about to only mathematics

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

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

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

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