Question

sin 30 degrees + Cos 60 degrees minus sin 60 degrees + cos 30 degrees is equal to
whoever answers it correctly I will mark them the brainliest​

Answer 1

As we know that:

cos 60° = 1/2, cos 30° = √3/2, sin 60° = √3/2, sin 30° = 1/2

Substituting all the values in the given expression,

(1/2 × √3/2) + (√3/2 × 1/2)

= √3/4 + √3/4

= 2√3/4

= √3/2

Thus, (cos 60° × cos 30°) + (sin 60° × sin 30°) = √3/2

Answer 2

$\sf\huge\bold{Answer:}$

Given :

$:⟶ \sin(30 \degree) + \cos(60 \degree) - \sin(60 \degree) + \cos(30 \degree)$

To find :

Value of above trigonometric expression.

Solution :

$:⟶ \sin(30 \degree) + \cos(60 \degree) - \sin(60 \degree) + \cos(30 \degree)$

Values of trigonometric ratios is as follows :

• Sin 30° = 1/2
• Cos 60° = 1/2
• Sin 60° = √3/2
• Cos 30° = √3/2

Inserting Values of trigonometric ratios in the expression

$= \frac{1}{2} + \frac{1}{2} - \frac{ \sqrt{3} }{2} + \frac{ \sqrt{3} }{2}$

Taking LCM

$= \frac{1 + 1 - \sqrt{3} + \sqrt{3} }{2}$

Solving numerator

$= \frac{2 }{ 2 }$

Simplifying by cutting the fraction to lowest form

$= 1$

Hence,

$:⟶ \sin(30 \degree) + \cos(60 \degree) - \sin(60 \degree) + \cos(30 \degree) = 1$