Find the measure of the third angle of a triangle given that the first two angles are 44º and 72º.
2 answers:
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Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• 1 + cot² x = csc²x and csc x =
• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Consider the left side
sin²Θ( 1 + cot²Θ )
= sin²Θ × csc²Θ
= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified
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Consider the left side
cos²Θ - sin²Θ
= cos²Θ - (1 - cos²Θ)
= cos²Θ - 1 + cos²Θ
= 2cos²Θ - 1 = right side ⇒ verified
Answer: Length of the radius of the sector is 6 units.
Step-by-step explanation:
Since we have given that
Length of an arc = 10.8
Radian of a central angle = 1.8
First we convert radian into degrees,
As we know the formula for "Length of an arc":
Hence, Length of the radius of the sector is 6 units.