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The angles of a triangle are in the rati...

The angles of a triangle are in the ratio, `1:2:7`. Prove that the ratio of the longest and smallest side is `(sqrt(5)+1): (sqrt(5)-1)`.

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NAGEEN PRAKASHAN-TRIGNOMETRIC FUNCTIONS-EXERCISES 3N
  1. In DeltaABC, angleB=90^(@), angleA=30^(@), b=20cm, find a and c.

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  2. If the ratio of angles of DeltaABC is 1:2:3, find the ratio of its sid...

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  3. The angles of a triangle are in the ratio, 1:2:7. Prove that the ratio...

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  4. In DeltaABC, a=3, b=4 and c=5, evaluate sin2C.

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  5. In DeltaABC, prove that: sinB+sinC gt sinA

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  6. In DeltaABC, show that(sinA)/(sin(A+B))=a/c

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  7. In DeltaABC, prove that: acosA+bcosB=(c)cos(A-B)

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  8. In DeltaABC, prove that: asinA-bsinB=csin(A-B

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  9. In DeltaABC, C=90^(@), A=30^(@), b=6, find the remaining elements of t...

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  10. In DeltaABC, prove that: sin(B-C)/(2)=(b-c)/(a).cosA/2

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  11. In DeltaABC, if a=2, b=3, c=4, find cosA.

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  12. If in DeltaABC, a=4,b=6,c=8 then 2cosA+4cosB+cosC=

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  13. In DeltaABC, if a=6, b=8, c=10, evaluate cos2A.

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  14. In DeltaABC, if b=7, c=24, a=25, find angleA.

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  15. In DeltaABC, a:b:c=15:7:13, find cosA.

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  16. A triangle side are few 7 cm, 4sqrt3 cm and sqrt(13) cm then the smal...

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  17. In DeltaABC, a=x^(2)-1, b=2x+1, angleC=120^(@), find c.

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  18. In DeltaABC, prove that: a(cosB+cosC)=2(b+c)sin^(2)A/2.

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  19. In DeltaABC, prove that: b(cosA-cosC)=2(c-a)cos^(2)B/2

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  20. In DeltaABC, prove that: a/(b+c)=(1-tanB/2tanC/2)/(1+tanB/2tanC/2)

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