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

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

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To evaluate \( \sin 2C \) in triangle \( \Delta ABC \) where \( a = 3 \), \( b = 4 \), and \( c = 5 \), we can follow these steps: ### Step 1: Use the Cosine Law to find \( \cos C \) The cosine law states: \[ \cos C = \frac{a^2 + b^2 - c^2}{2ab} \] Substituting the given values: ...
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NAGEEN PRAKASHAN ENGLISH-TRIGNOMETRIC FUNCTIONS-EXERCISES 3N
  1. If the ratio of angles of DeltaABC is 1:2:3, find the ratio of its sid...

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  2. The angle of a triangle are in the ratio 1 : 2 : 7, prove that the rat...

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

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

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  5. In any DeltaABC, prove that (sinA)/(sin(A+B))=a/c

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

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

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

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  9. In any triangle A B C prove that: sin((B-C)/2)=((b-c)/a)cosA/2

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  10. In DeltaABC, if a = 2, b = 3, c = 4, prove that cosA=7/8.

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

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

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

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

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  15. In DeltaABC, if the sides are 7, 4sqrt(3) and sqrt(13) cm, prove tha...

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

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  17. With usual notations, if in a triangle A B C(b+c)/(11)=(c+a)/(12)=(a+b...

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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. i) In DeltaABC, prove that: (b-a)/(b+a)=tanC/2. tan(B-A)/(2) ii) In ...

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