Question

if 8 tan = 15 then cos​

Answer 1

Step-by-step explanation:

Given,

8tanA=15

tanA=

8

15

We know that,

tanA=

adjacentSide

oppositeSide

From Pythagoras theorem,

(Hypotenuse)

2

=(oppositeSide)

2

+(adjacentSide)

2

(Hypotenuse)

2

=15

2

+8

2

(Hypotenuse)

2

=225+64=289

(Hypotenuse)=17

cosA=

Hypotenuse

AdjacentSide

=

17

8

sinA=

AdjacentSide

OppositeSide

=

17

15

Therefore,

sinA−cosA

=1715 − 178

= 17

(15−8)

= 177