Question

find the value of 1+sin 45 1- cos 45

Answer 1

ANSWER

$\frac{1}{2}$

EXPLANATION:

SINCE

$\sin(45) = \cos(45)$

THEREFORE OUR EQUATION BECOMES:

$(1 + \sin45)(1 - \sin45)$

APPLYING THE FORMULA OF

${a}^{2} - {b}^{2}$

WE GET:

${1}^{2} - ({ \sin45) }^{2}$

SINCE

$\sin45 = \frac{1}{ \sqrt{2} }$

THEREFORE:

$1 - ( \frac{1}{ \sqrt{2} } ) {}^{2}$

$= 1 - \frac{1}{2}$

$= \frac{1}{2}$

SO, OUR REQUIRED ANSWER IS HALF.

HOPE IT HELPS.

MARK AS BRAINLIEST.