Question

51. The value of (sin30°+cos60°)-(sin60°+cos30°) is​

Answer 1

Step-by-step explanation:

$( \sin ( 30 ^ { \circ } ) + \cos ( 60 ^ { \circ } ) )-( \sin ( 60 ^ { \circ } ) + \cos ( 30 ^ { \circ } )$

solve-

$\frac{1}{2}+\cos(60)-\left(\sin(60)+\cos(30)\right)$

$\frac{1}{2}+\frac{1}{2}-\left(\sin(60)+\cos(30)\right)$

$1-\left(\sin(60)+\cos(30)\right)$

$1-\left(\frac{\sqrt{3}}{2}+\cos(30)\right)$

$1-\left(\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}\right)$

$1-\sqrt{3}$

Answer 2

Answer:

( 1/2 + 1/2 ) — (√3/2 +√3/2)

1×2 + 1×2 /2×2 — √3×2+2×√3 /2×2

≈2+2/4 — 2√3+2√3/4

≈4/4 — 4√3/4

1/1 — √3/1

the Answer would be 1–√3

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