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In DeltaABC, a=4, b=6 and angleB=30^(@),...

In `DeltaABC`, a=4, b=6 and `angleB=30^(@)`, evaluate sinA.

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To solve for \( \sin A \) in triangle \( ABC \) where \( a = 4 \), \( b = 6 \), and \( \angle B = 30^\circ \), we will use the Law of Sines. ### Step-by-Step Solution: 1. **Write the Law of Sines**: The Law of Sines states that: \[ \frac{a}{\sin A} = \frac{b}{\sin B} ...
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NAGEEN PRAKASHAN ENGLISH-TRIGNOMETRIC FUNCTIONS-EXERCISES 3N
  1. In DeltaABC, a=4, b=6 and angleB=30^(@), evaluate sinA.

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  2. In DeltaABC,b=2sqrt(3), c=3sqrt(2), angleC=60^(@), evaluate angleA.

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  3. In DeltaABC, angleA=60^(0), angleB=45^(@), find a:b.

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  4. In DeltaABC, angleB=90^(@), angleA=30^(@), b=20cm, find a and c.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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