Question

if tan theta = 4by 3. what is the value of sin theta + cos theta by sin theta _ cos theta

Answer 1

Hiii friend,

Tan theta = 4/3 = Perpendicular/Base

P = 4 and B = 3

By pythagoras theroem,

(H)² = (P)² + (B)²

(H)² = (4)² + (3)² = 16 + 9 = 25

H = ✓25 = 5


Therefore,

Sin theta = P/H = 4/5

And,

Cos theta = B/H = 3/5

Sin theta + Cos theta/ Sin theta- Cos theta

=> 4/5 + 3/5
___________
***4/5 - 3/5

=> 4 + 3
***_____
****5
__________
***4-3
***____
****5

=> 7/5/1/5

=> 7

HOPE IT WILL HELP YOU.... :-)

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