if cosA=0.4 then find the value of cos3A
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If cos A = 0.4 then cos 3A = - 0.944
Given :
cos A = 0.4
To find :
The value of cos 3A
Formula :
cos 3A = 4 cos³ A - 3 cos A
Solution :
Step 1 of 2 :
Write down the given value
Here it is given that cos A = 0.4
Step 2 of 2 :
Find the required value
cos 3A = 4 cos³ A - 3 cos A
⇒ cos 3A = 4 × 0.4³ - 3 × 0.4
⇒ cos 3A = 4 × 0.064 - 1.2
⇒ cos 3A = 0.256 - 1.2
⇒ cos 3A = - 0.944
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