Question

sin4A / sin5A = tan 4A then A =

Answer 1

Answer:

Step-by-step explanation:

Sin4A/sin5A=tan4A

Sin4A/sin5A=sin4A/Cos4A

Sin5A=cos4A

Sin5A=sin(90°-4A)

5A=90°-4A

5A+4A=90°

9A=90°

A=10°

Answer 2

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⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐
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(Sin 4 A) / (Sin 5 A) = tan 4 A

We know, tan A = Sin A / Cos A.

So, the next step will be :

=> Sin 4 A / Sin 5 A = Sin 4 A / Cos 4 A

Now, we can cancel Sin 4 A from both sides. On doing so, the next step will be

=> 1/Sin 5 A = 1/Cos 4 A

=> Cos 4 A = Sin 5 A (Cross-multiply)

We know that, Cos (90°-A) = Sin A. So, on doing so, the next step will be

=> Cos 4 A = Cos (90° - 5 A)

=> 4 A = 90° - 5 A

=> 4 A + 5 A = 90°

=> 9 A = 90°

=> A = 90°/9

=> A = 10° [REQUIRED ANSWER]



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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐

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