1 answer:
Answer:
cos2∅= -0.557
tan2∅= --1.49
Step-by-step explanation:
Given:
cos∅=-8/17
By trigonometric ratios:
as cos∅=adjacent/hypotenuse
hypotenuse= 17
adjacent=-8
Now finding perpendicular using Pythagoras theorem:
c2=a2+b2
17^2=(-8)^2+b^2
289-64=b^2
b^2=225
b=±15
b=-15 as ∅ is in third quadrant so both the opposite and adjacent sides be in 3rd quadrant
tan∅=opposite/adjacent
tan∅=-15/-8
sin∅=-15/17
Now finding cos2∅
cos2∅= 1-2sin^2∅
=1 - 2(-15/17)^2
=1 -450/289
= -161/289
=-0.557
finding tan2∅
tan2∅= 2tan∅/1-tan^2∅
= 2(-15/-8) / 1-(-15/-8)^2
= (15/4) / 1-225/64
=(15/4) / (-161/64)
= -240/161
=-1.49 !
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explantion: you’re welcome.
Answer:
c.60°
Step-by-step explanation:
A triangle has 3 angles. Sum of angles in a triangle is 180 degrees. Three angles of an equilateral triangle are equal
So 180/3 = 60
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1. b=2.4-4
b= -1.6
2. 1.2g/1.2 = 3.6/1.2
g=3
3. 3.75x/3.75 = 3/3.75
x= 0.8
4. w = -4.1 + 9
w= 4.9
5. p = -7.4 - 8.8
p= -16.2
6. y = 2.9 + 6.9
y = 9.8
7. A= 1.5 - 5.7
A= -4.2
8. V/0.2 * 0.2 = -3.5 * 0.2
V= -0.7
9. Z/9 * 9 = 1.6 * 9
Z= 14.4
10. -9.9t/-9.9 = -9.9/-9.9
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Hope it help
5 sevens go into 37 without going over
