Tana = 1 / 4, simplify 2 (Sina) ^ 2-sin (pi-A) * sin (PI / 2-A) + [sin (3pi / 2 + a)] ^ 2 and evaluate

Tana = 1 / 4, simplify 2 (Sina) ^ 2-sin (pi-A) * sin (PI / 2-A) + [sin (3pi / 2 + a)] ^ 2 and evaluate

Tana = 1 / 4, cosa = 4sina
2(sina)^2-sin(π-a)*sin(π/2-a)+[sin(3π/2+a)]^2
=2(sina)^2-sina*cosa+[-cosa]^2
=2(sina)^2-4(sina)^2+16(sina)^2
=14(sina)^2
=14/17