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In P Q R , right-angled at Q ,\ P Q=...

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

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To solve the problem, we will determine the angles \( \angle P \) and \( \angle R \) in triangle \( PQR \), which is right-angled at \( Q \). We know the lengths of the sides: \( PQ = 3 \, \text{cm} \) and \( PR = 6 \, \text{cm} \). ### Step-by-Step Solution: 1. **Identify the sides of the triangle**: - In triangle \( PQR \), we have: - \( PQ \) (perpendicular) = 3 cm - \( PR \) (hypotenuse) = 6 cm ...
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NAGEEN PRAKASHAN ENGLISH-INTRODUCTION TO TRIGONOMETRY-Problems From NCERT/exemplar
  1. If tan(A+B)=sqrt(3) and t a n(A B)=1/(sqrt(3)); 0o<A+Blt=90o;""...

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

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

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

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

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

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

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

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

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  10. about to only mathematics

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

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

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

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

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

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

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

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

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

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

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