Can u pls help me solve this. I will send u the other options

Question 1

Question 2

Given:

$cos300^(\degree)$

Required:

We need to determine the exact value of the given expression.

Step-by-step explanation:

$We\text{ know that }cos2\theta=2cos^2\theta-1.$
$Substitute\text{ }\theta=150\degree\text{ in the equation.}$

$cos(2*150)=2cos^2(150\degree)-1.$

$cos(300\degree)=2cos^2(150\degree)-1.$
$\text{We know that }cos2\theta=1-2sin^2\theta.$

$Substitute\text{ }\theta=150\degree\text{ in the equation.}$

$cos(2*150)\degree=1-2sin^2(150)\degree.$

$cos(300)\degree=1-2sin^2(150)\degree.$

Final answer:

$cos(300\degree)=2cos^2(150\degree)-1.$

$cos(300)\degree=1-2sin^2(150)\degree.$

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