If x= sin 130° + cos130° then what is the value of x ?
Answers
Answer:
Step-by-step explanation:
X= Sin130 + Cos130 =Sin(180-50) + Cos(180-50)
=Sin50 - Cos50
=Sin50 - Cos(90-40)
=Sin50 - Sin40
=Sin(45+5) - Sin(45-5)
=2Cos45.Sin5
Since, the value of 2cos45.sin5 is positive
the value of X is also positive.
If x = sin 130° + cos 130° then value x > 0
Given :
x = sin 130° + cos 130°
To find :
The value of x
Solution :
Step 1 of 2 :
Write down the given expression
Here the given expression is
x = sin 130° + cos 130°
Step 2 of 2 :
Find the value of the expression
Now 5° lies in first quadrant
∴ sin 5° is positive
∴ x > 0
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