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Lemur [1.5K]
4 years ago
11

Find a numerical value of one trigonometric function of x for cscx=sinxtanx+cosx

Mathematics
2 answers:
ehidna [41]4 years ago
5 0

cscx = sinx tan x + cos x

Using xsx x = 1/sin x and tan x = sin x/cos x

\frac{1}{sin x} = sinx *\frac{sinx }{cos x} + cosx

\frac{1}{sin x} = \frac{sin^2x +cos^2x}{cos x}

\frac{1}{sin x} = \frac{1}{cos x}

Multiplying both sides by cos x

\frac{cos x}{sin x} = 1

cot x =1

Correct option is d .

egoroff_w [7]4 years ago
5 0

Answer: d. cotx=1

Step-by-step explanation: cosecx=sinxtanx+cosx

                             ⇒             cosecx=  sinx×\frac{sinx}{cosx} +cosx

                             ⇒              cosecx=\frac{sin^{2}x  }{cosx} +cosx

                             ⇒          cosecx= \frac{sin^{2}x+cos^{2} x }{cosx}

                             ⇒            cosecx= 1/cosx     (since sin²x+cos²x=1)

                            ⇒             1/sinx=1/cosx

                           ⇒             cosx/sinx=1

                            ⇒             cotx=1

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vlada-n [284]

The trapezoids are congruent if the corresponding sides of each trapezoid are equal

The option that gives the possible coordinates for the vertex <em>I</em> is the option;

\underline{(-4.5, -5)}

Reason:

The given coordinates of the trapezoid TRAP = T(3, 5), P(3 2), R(6, 5), and A(7.5, 2)

The given coordinates of the trapezoid ZOID = Z(0, -2), and D(0, -5)

Required: The possible coordinates for a vertex on ZOID

Solution:

The given points of the trapezoid are the height of the trapezoid ZOID

The possible vertex of <em>I</em>, and <em>O</em> are;

  • I(4.5, -5), I(-4.5, -5), O(3, -2), O(-3, -2)

Therefore;

The option that gives the possible coordinates (position) of a vertex <em>I</em> is the option \underline{(-4.5, -5)}

Learn more here:

brainly.com/question/12871672

3 0
3 years ago
What is the output of the function f(p) = 3p – 2 when the input is 2?
vovikov84 [41]
Just plug in 2 for p. 3*2 - 2 = 6-2 = 4
4 0
4 years ago
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The bases of Triangle A and Triangle B are equal. The ratio of the height of
Lunna [17]

Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

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The area (A) of triangle B is calculated as

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Here b = 12 and h = 20 , then

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3 0
2 years ago
Please help me with this question
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7 0
4 years ago
What percent of 60 is 12? Show your work.
Semmy [17]
Percent formula : is/of = %/100
is = 12
of = 60
% = x
now we sub

12/60 = x/100
cross multiply
(60)(x) = (12)(100)
60x = 1200
x = 1200/60
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check..
0.20(60) = 12
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so 20% of 60 is 12
7 0
3 years ago
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