Question

(sin30+cos60)-(sin60+cos30)​

Answer 1

Answer:

1

Step-by-step explanation:

sin30 = 1/2

sin60 = √3/2

cos30 = √3/2

cos60 = 1/2

(1/2+1/2) - (√3/2-√3/2)

1 - √3/2 + √3/2

(√3/2 cancel out each other)

Answer = 1

HOPE IT HELPS ;)

Answer 2

$(sin30+cos60)-(sin60+cos30) \\ \\ = ( \frac{1}{2} + \frac{1}{2} ) - ( \frac{ \sqrt{3} }{2} + \frac{ \sqrt{3} }{2}) \\ \\ = \frac{1 + 1}{2} - \frac{ \sqrt{3 } + \sqrt{3} }{2} \\ \\ = \frac{2}{2} - \frac{2 \sqrt{3} }{2 } \\ \\ = 1 - \sqrt{3}$

This is the required answer.