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Mathematics

1 answer:

zheka24 [161]3 years ago

5 0

Answer:

1.90.93

2.90.27

Step-by-step explanation:

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What is the value of sin-1(1)? negative startfraction pi over 2 endfraction 0 startfraction pi over 2 endfraction π

mariarad [96]

The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

<h3>What is the value of sin (π/2)?</h3>

The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.

Suppose the value of this function is <em>x</em>. Thus,

$x=\sin^{-1}(1)$

Solve it further,

$\sin(x)=(1)$ ......1

The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,

$\sin\dfrac{\pi}{2}=-\sin\left(-\dfrac{\pi}{2}\right)=1$

Put this value in the equation 1,

$\sin(x)=\sin\left(\dfrac{\pi}{2}\right)=-\sin\left(-\dfrac{\pi}{2}\right)$

Thus, the range will be,

$\left(\dfrac{\pi}{2},-\dfrac{\pi}{2}\right)$

Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

Learn more about the sine values here;

brainly.com/question/10711389

3 0

2 years ago

the cost (in dollars) of making n birthday cakes is represented by C= 24n + 35. How many birthday cakes are made when the cost i

bagirrra123 [75]

Answer:

n= 16

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Show that <br><br> 4(m + 7) + (m + 3)^2 = (m + 3)(m + 7) + 16

anygoal [31]

Step-by-step explanation:

$4(m+7)+(m+3)^2=(m+3)(m+7)+16\\\\L_S=4(m+7)+(m+3)^2\\\\\text{use the distributive property}:a(b+c)=ab+ac\\\text{and formula}:\ (a+b)^2=a^2+2ab+b^2\\\\L_S=(4)(m)+(4)(7)+m^2+2(m)(3)+3^2\\\\L_S=4m+28+m^2+6m+9\qquad\text{combine like terms}\\\\L_S=m^2+(4m+6m)+(28+9)\\\\L_S=m^2+10m+37$

$R_S=(m+3)(m+7)+16\\\\\text{use FOIL}:(a+b)(c+d)=ac+ad+bc+bd\\\\R_S=(m)(m)+(m)(7)+(3)(m)+(3)(7)+16\\\\R_S=m^2+7m+3m+21+16\qquad\text{combine like terms}\\\\R_S=m^2+(7m+3m)+(21+16)\\\\R_S=m^2+10m+37\\\\\boxed{L_S=R_S}$