Question

5(sin? 27° + sin 63°) - 4 tan? 30°
2 sin 30° cos 30° + tan 45º​

Answer 1

Answer:

1.963

Step-by-step explanation:

use formulae

tan 30° = 1/√3 ,

tan 45° =1 ,

2 sinα.cosα = sin 2α ,

sin²α + cos²α = 1

soln:

= [5 (sin² 27° + sin²(90-27)°) - 4 * (1/√3)² ]  ÷ [ sin 2(30)° + 1 ]

= [ 5 (sin²27° + cos²27°) - (4/3) ]  ÷ [sin 60° + 1]

= [ 5 (1) - (4/3)] ÷ [ (√3/2)  + 1 ]

= [(15 - 4)/3] ÷ [ (√3+2)/2]

= (11/3) ÷ [ (1.732+2)/2]

= (11/3) ÷ [3.732/2]

= 3.67 / 1.87

= 1.963