Math, asked by dgahsjshna, 6 hours ago

sinAsin2A*sin4A=1/4sin3A

Answers

Answered by aryanbudhwar
1

Answer:

i hope it will help u

Step-by-step explanation:

sinA.sin2A.sin4A = (1/4)sin3A

this equation is not true

Let say A = 30°

SinA = Sin30° = 1/2

Sn2A = Sin60° = √3/2

Sin4A = Sin120° = √3/2

LHS = (1/2)(√3/2)(√3 /2) = 3/8

Sin(3A) = Sin90° = 1

RHS = 1/4

LHS + RHS

Another example A = 45°

SinA = Sin45° = 1/√2

Sn2A = Sin90° = 1

Sin4A = Sin180° = 0

LHS = 0

Sin(3A) = Sin135° = 1/√2

RHS = 1/4-√2

=> LHS + RHS

Another example A = 90°

SinA = Sin90° = 1

Sn2A = Sin180° = 0

Sin4A = Sin360° = 0

LHS = 0

Sin(3A) = Sin270° = -1

RHS = -1/4

=> LHS + RHS

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