4 cos² x - 3 = 0
4 cos² x = 3
cos² x = 3/4
cos x = ±(√3)/2
Fixing the squared cosine doesn't discriminate among quadrants. There's one in every quadrant
cos x = ± cos(π/6)
Let's do plus first. In general, cos x = cos a has solutions x = ±a + 2πk integer k
cos x = cos(π/6)
x = ±π/6 + 2πk
Minus next.
cos x = -cos(π/6)
cos x = cos(π - π/6)
cos x = cos(5π/6)
x = ±5π/6 + 2πk
We'll write all our solutions as
x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k
Answer:
12 3
24 6
36 9
48 12
Step-by-step explanation:
Letter H has both point and a line symmetry.
Step-by-step explanation:
This question was requiring you to examine letters of alphabet and determine the ones with point symmetry, line symmetry or both. In this example letter H both point and line symmetry.
Other letters with both point and line symmetry are X, and I
Letters that have point symmetry are; N,S and Z
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Line of symmetry : brainly.com/question/12527764
Keyword :Line of symmetry
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The m is always the slope and the b is the y intercept
Answer:
Step-by-step explanation:
Let the number be x.
Translating the word problem into an algebraic equation, we have;
Opening the bracket, we have;
Collecting like terms, we have;
