Answer:
Explanation:
The reciprocal identities
csc
θ
=
1
sin
θ
sec
θ
=
1
cos
θ
cot
θ
=
1
tan
θ
The quotient identities:
tan
θ
=
sin
θ
cos
θ
cot
θ
=
cos
θ
sin
θ
Applying all these identities, on both sides, we get:
1
sin
x
+
1
cos
x
sin
x
+
cos
x
=
cos
x
sin
x
+
sin
x
cos
x
cos
x
+
sin
x
cos
x
sin
x
sin
x
+
cos
x
=
cos
x
sin
x
+
sin
x
cos
x
1
sin
x
+
cos
x
×
cos
x
+
sin
x
cos
x
sin
x
=
cos
x
sin
x
+
sin
x
cos
x
1
cos
x
sin
x
=
cos
2
x
+
sin
2
x
sin
x
cos
x
Applying the pythagorean identity
sin
2
x
+
cos
2
x
=
1
on the right side, we get:
1
cos
x
sin
x
=
1
sin
x
cos
x
Hopefully this helps!
I believe it is asking for x so I will be finding the value of x.
X = 4, work is shown below:
−2x=−3x+12−2x
Step 1: Simplify both sides of the equation.
−2x=−3x+12−2x
−2x=−3x+12+−2x
−2x=(−3x+−2x)+(12)(Combine Like Terms)
−2x=−5x+12
−2x=−5x+12
Step 2: Add 5x to both sides.
−2x+<u>5x</u>=−5x+12+<u>5x</u>
3x=12
Step 3: Divide both sides by 3.
3x/3 =1 2/3
x=4
Answer:
∠C ≈ 11.978°
Step-by-step explanation:
sin (∠C)/5 = sin (95°)/24
=> sin (∠C) = 5 × sin (95°) ÷ 24
=> ∠C = (5 × sin (95°) ÷ 24)
=> ∠C ≈ 11.978°