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

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

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To prove that \(\sqrt{(1 - \cos^2 \theta) \sec^2 \theta} = \tan \theta\), we will start with the left-hand side and simplify it step by step. ### Step-by-Step Solution: 1. **Start with the Left-Hand Side:** \[ \text{LHS} = \sqrt{(1 - \cos^2 \theta) \sec^2 \theta} \] ...
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Prove that sqrt((1-cos2theta)/(1+cos2theta))=tantheta where tantheta>0

Prove that : sec^(2)theta+"cosec"^(2)theta=sec^(2)theta*"cosec" ^(2)theta

Prove that (sin^(2)theta+cos^(2)theta)/(sec^(2)theta-tan^(2)theta)=1

If sintheta=3/4 , prove that sqrt((cos e c^2theta-cot^2theta)/(sec^2theta-1))=(sqrt(7))/3

Prove that: sqrt((1-sintheta)/(1+sintheta))= sec theta- tan theta when (-pi/2) < theta < pi/2 and -sec theta+tan theta when pi/2< theta< (3pi)/2

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NAGEEN PRAKASHAN ENGLISH-INTRODUCTION TO TRIGONOMETRY-Problems From NCERT/exemplar
  1. In DeltaA B C , right-angled at B, A B"\ "="\ "5"\ "c m and /A C B=30...

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

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

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

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

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

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

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

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  9. about to only mathematics

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

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

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

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

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

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

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

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  17. Express sin 67^(@)+cos75^(@) in terms of trigononmertic ratios of angl...

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  18. If tan A=cot (A-18^(@)) where 2A is an acute angle , find the value of...

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  19. If s e c4A=cos e c(A 20o) , where 4A is an acute angle, find the v...

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  20. The value of the expression cosec (75^(@)+theta) - sec(15^@)-theta)-ta...

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