Question

4(sin 60%-os 45°)
tan 30° + cos 90°​

Answer 1

Answer:

Step-by-step explanation:

Given,

4 (sin 60° - cos 45°) tan 30° + cos 90°

= 4 ( √3/2 - 1/√2 ) 1/√3 + 1

= 4 ( √3/2 - 1/√2 × √2/√2 ) 1/√3 + 1

= 4 (√3/2 - √2/2 ) 1/√3 + 1

= 4 ( √3 - √2 / 2 ) 1/ √3 + 1

= Here 4 and 2 are cancelled balance is 2 is multiplying with (√3 - √2 ),we get

= 2 (√3 - √2 ) 1/√3 + 1

= 2√3 -2√2 / √3 + 1

= 2√3 - 2√2 + √3 / √3

= √3 - 2√2 /√3

= √3 / √3 - 2√2 / √3

= 1 - 2√2/√3 is the answer.