If 8 tan A =15, find sin A - cos A
Attachments:
Answers
Answered by
16
Hii friend,
8 Tan A = 15
Tan A = 15/8 = P/B
P = 15 and B = 8
By pythagoras theroem,
(H)² = (P)² + (B)²
(H)² = (15)² + (8)²
(H)² = 225+64
(H)² => 289
H => ✓289 = 17
Therefore,
Sin A = P/H => 15/17
And,
CosA = B/H => 8/17
SinA - CosA
=> 15/17 - 8/17
=> 15-8/17 => 7/17
HOPE IT WILL HELP YOU.... :-)
8 Tan A = 15
Tan A = 15/8 = P/B
P = 15 and B = 8
By pythagoras theroem,
(H)² = (P)² + (B)²
(H)² = (15)² + (8)²
(H)² = 225+64
(H)² => 289
H => ✓289 = 17
Therefore,
Sin A = P/H => 15/17
And,
CosA = B/H => 8/17
SinA - CosA
=> 15/17 - 8/17
=> 15-8/17 => 7/17
HOPE IT WILL HELP YOU.... :-)
nairabhardwaj1p8jt5n:
Thanks
Similar questions