Question

the value if ( sin 30° + cos 30° ) - ( sin 60° + cos 60° ) is.​

Answer 1

To find :- value of ⬇️

(sin 30° + cos 30°) - (sin 60° + cos 60°)

Full solution;-

(sin 30° + cos 30°) - (sin 60° + cos 60°)

= (1/2 + √3/2) - (√3/2 + 1/2)

= 1/2 + √3/2 - √3/2 - 1/2

= 0

Answer

The value if ( sin 30° + cos 30° ) - ( sin 60° + cos 60° ) is 0.

Answer 2

The value of ( sin 30° + cos 30° ) - ( sin 60° + cos 60° ) is 0

Given : ( sin 30° + cos 30° ) - ( sin 60° + cos 60° )

To find : The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

( sin 30° + cos 30° ) - ( sin 60° + cos 60° )

Step 2 of 2 :

Find the value

( sin 30° + cos 30° ) - ( sin 60° + cos 60° )

$\displaystyle \sf{ = \bigg( \frac{1}{2} + \frac{ \sqrt{3} }{2} \bigg) - \bigg( \frac{ \sqrt{3} }{2} + \frac{1}{2} \bigg) }$

$\displaystyle \sf{ = \bigg( \frac{1}{2} + \frac{ \sqrt{3} }{2} \bigg) - \bigg( \frac{1}{2} + \frac{ \sqrt{3} }{2} \bigg) }$

$= 0$

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