Question

The value of sin 450 + cos 450

is:​

Answer 1

Step-by-step explanation:

$\red{\sin450 \degree = \sin(360 \degree + 90 \degree) }\\ \red{ \cos450 \degree = \cos (360 \degree + 90 \degree) }\\ \sin(360 \degree + 90 \degree) + \cos(360 \degree + 90 \degree) \\ \red{We \: know \: that }\\ \red{sin(360 \degree + \theta) = \sin \theta} \\ \red{ \cos(360 \degree + \theta) = \cos \theta }\\ \red{where \: \theta = 90 \degree }\\ = \sin(90 \degree) + \cos(90 \degree) \\ \red{ We \: know \: that} \\ \red{ sin(90 \degree) = 1 }\\ \red{ \cos(90 \degree) = 0 }\\ = 1 + 0 \\ = 1 \\ \purple{ \boxed{ \red{The \: value \: of \: sin \: 450 \degree + cos \: 450 \degree\:is:1}}}$

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