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Fittoniya [83]
3 years ago
5

Tan2A - sin2A =sin2Atan2A​

Mathematics
1 answer:
Kitty [74]3 years ago
4 0

Step-by-step explanation:

\tan^2\alpha-\sin^2\alpha=\sin^2\alpha\tan^2\alpha\\\\LS=\left(\dfrac{\sin\alpha}{\cos\alpha}\right)^2-\sin^2\alpha=\dfrac{\sin^2\alpha}{\cos^2\alpha}-\dfrac{\sin^2\alpha\cos^2\alpha}{\cos^2\alpha}\\\\=\dfrac{\sin^2\alpha-\sin^2\alpha\cos^2\alpha}{\cos^2\alpha}=\dfrac{\sin^2\alpha(1-\cos^2\alpha)}{\cos^2\alpha}=\dfrac{\sin^2\alpha\sin^2\alpha}{\cos^2\alpha}\\\\=\sin^2\alpha\cdot\dfrac{\sin^2\alpha}{\cos^2\alpha}=\sin^2\alpha\left(\dfrac{\sin\alpha}{\cos\alpha}\right)^2=\sin^2\alpha\tan^2\alpha=RS

Used:

\tan x=\dfrac{\sin x}{\cos x}\\\\\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\sin^2\alpha+\cos^2\alpha=1\to \sin^2\alpha=1-\cos^2\alpha\\\\\text{distributive property}\ a(b+c)=ab+ac

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8.) What is the product of (x+8) and (x - 5) ?
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(x + 8)(x - 5)

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5)Write an algebraic equation for each statement, and then SOLVE for x
Andrei [34K]

Answer:

Step-by-step explanation:

1. x+6=14

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   15/3=x

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3. 7*x=56

   56/7=8

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7. 1/2x-10=14

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A car salesperson earns a $500 fee per car she sells. If She sells 4 cars in one day,
Semmy [17]
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Given and which statement is correct? AB = FD AB &lt; FD AB &gt; FD AB ≤ FD
mojhsa [17]

Side AB is longer than side FD. Option (b) is correct.

Further explanation:

Given:

The options area as follows,

(a). \overline {{\text{AB}}} and \overline {{\text{FD}}} are the same length.

(b). \overline {{\text{AB}}} is longer than \overline {{\text{FD}}}.

(c). \overline {{\text{AB}}} is shorter than \overline {{\text{FD}}}.

(d). {\text{AB}} \leqslant {\text{FD}}

Explanation:

The sides opposite to equal angles are equal.

The side opposite to greater angle is greater than the other one.

The measure of \angle {\text{DEC}} is {65^ \circ }.

The measure of \angle {\text{BCA}} is {72^ \circ }.

\angle {\text{BCA}} is greater than \angle {\text{DEC}}. Therefore, the side opposite to greater angle is greater.

Side AB is longer than side FD. Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497.

Answer details:

Grade: High School

Subject: Mathematics

Chapter:Triangles

Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.

3 0
3 years ago
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