Answer:
In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven
Step-by-step explanation:
Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.
Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.
a²+b²=c²
a²=c²-b²
a²=4²-3²
a²=16-9
a²=7
a=√7
Then Cos ∅= opposite/ adjacent
=√7/4
Then Tan ∅ = opposite/adjacent
=3/√7
In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven.
Answer:
c=√74
Step-by-step explanation:
h=c
p=5
b=7
Using pythogorean theorem,
h^2=p^2+b^2
c=√(7^2+5^2)
c=√(49+25)
c=√74
Answer:
C. Translation
Step-by-step explanation:
This is because the triangle is still in the same position, however, it has been shifted to the right five and up two.
Hope this helps!
All the love, Ya boi Fraser :)
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
cot A = 
, tanA = 
, cscA = 
, secA = 
Consider the right side
= 
= 
= 
× sinAcosA ( cancel sinAcosA )
= cos²A - sin²A
= cos2A
= left side ⇒ verified
