Jawaban:

1.

2. 1024

3.

4.

5. -1/2

Penjelasan dengan langkah-langkah:

1.

= g(f(x))

= 2 - (2x/(x-1))²

= 2 - 4x²/(x²-2x+1)

= (2x²-4x+2-4x²))/(x²-2x+1)

= (-2x²-4x+2)/(x²-2x+1)

2.

T(t)= 2(5)-1

T(5)= 10-1

T(5)= 9

T= 9

Masukkan lagi:

= 2 × 2⁹

= 2 × 512

= 1024

3.

sin²A+cos²A= 1

(2/3)²+cos²A= 1

4/9+cos²A= 1

cos²A= 5/9

Ambil negatif:

cos A= -akar 5/3.

tan A= sin A/cos A

= 2/3/-akar 5/3

= -2/akar 5

= -2/5 akar 5.

4.

sin A= 1/5

sin²A+cos²A= 1

(1/5)²+cos²A= 1

1/25+cos²A= 1

cos²A= 24/25

cos A= akar 24/5

sin 2A

= 2 sin A cos A

= 2 × 1/5 × akar 24/5

= 2 × akar 24/25

=

5.

sin a cos b - cos a sin b = sin(a-b)

sin 15° cos 45° - cos 15° sin 45°= sin (15-45)

= sin (-30°)

= sin (180-210°)

= sin 210°

= sin (180°+30°)

= -sin 30°

= -1/2