Question

Find the value(sin30+cos30)-(sin60+cos60)

Answer 1

Answer:

Step-by-step explanation:

Here is yr answer.....

=> (sin30+cos30) - (sin60+cos60)

sin30 = 1/2

sin60= √3/2

cos30= √3/2

cos60= 1/2

=> (1/2+√3/2) - (√3/2+1/2)

=> 1+√3/2 - √3+1/2

=> 1+1+√3-√3 /2

=> 2/2

=>1

Answer 2

The value of ( sin30° + cos30° ) - ( sin60° + cos60° ) is 0

Given : ( sin30° + cos30° ) - ( sin60° + cos60° )

To find : The value

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

( sin30° + cos30° ) - ( sin60° + cos60° )

Step 2 of 2 :

Find the value

We find the value as below

( sin30° + cos30° ) - ( sin60° + cos60° )

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

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

$\displaystyle \sf{ = 0}$

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