25. If tan A =3/4 then find the value of sin A.cos A ?
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Answered by
2
By using formula
Tan A = Sin A/Cos A
Sec^2 A = (1+Tan^2 A)
Then
Sin A Cos A = (Sin A/ Cos A) Cos^2 A
= Tan A ( 1/ Sec^2 A) )
= Tan A ( 1/ (1+Tan^2 A) )
= 3/4( 1/ (1+(3/4)^2)
= 3/4 (1/ (1+ 9/16)
= 3/4 (1/(25/16)
= 3/4 (16/25)
= 12/25
Answered by
1
Answer:
The answer is 12/25
Step-by-step explanation:
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