Question

If tan x = 1, find the value of
4 sinx - 3 cos2x + 2
3
:​

Answer 1

Answer:

tanx=131

tanx=34

tanx=BP=34

Using Pythagoras Theorem,

H2=P2+B2

H2=32+42

H=5

now, 4sin2x−3cos2x+2

= 4(HP)2−3(HB)2+2

= 4(54)2−3(53)2+2

= 2564−2527+2

= 2564−27+50

= 2587