Answer:
a) 240°
b) 30°
c) 225°
Step-by-step explanation:
To solve these equations you have to use the inverse of the given trigonometric functions. The inverse of <em>sin</em> is <em>arcsin</em>, and the inverse of <em>tan </em>is <em>arctan. </em>Instead of giving an angle, what is its sine?, the question is: given a sine, what is the angle?.
a)
sin(θ) = -√3/2
θ = arcsin(-√3/2)
θ = -60°
Given the periodicity of sine function, sin(-60°) is equivalent to sin(240°) (-60+180) and sin(300°) (-60+360).
b)
tan(θ) = 1/√3
θ = arctan(1/√3)
θ = 30°
c)
csc means cosecant, by definition:
csc(θ) = 1/sin(θ)
csc(θ) = -√2
1/sin(θ) = -√2
sin(θ) = -1/√2
θ = arcsin(-1/√2)
θ = -45° or 360-45 = 315° or 180+45 = 225°
Answer:
Well, I can answer the 1st question. There are 2 angles and 3 sides on the triangle.
Step-by-step explanation:
That would be John Stillwell's aptly titled Mathematics and its History. It teaches you the math along with the history, and is excellent.
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Answer:
63+38=101
Step-by-step explanation:
Answer:
= a^7
Step-by-step explanation:
Given in the question,
a^5 * a^4 / a²
To find,
show working
<h3>Explanation</h3>
As we know that to divide exponents (or powers) with the same base, we subtract the exponents. Division is the opposite of multiplication, so when multiplying the exponents (or powers) with the same base add the exponents.
<h3>Working</h3>
a^5 * a^4 / a²
= a^(5 + 4) / a² (Multiplying)
= a^9 / a²
= a^(9 - 2) (Dividing)
= a^7
<em>hence shown</em>