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3 years ago

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Mathematics

2 answers:

Zigmanuir [339]3 years ago

6 0

<h2>Answer:</h2>

<u>The right choice is option </u><u>(B) tan²θ + 1 = sec²θ</u>

<h2>Step-by-step explanation:</h2>

1 + (sin²θ/cos²θ)

= (cos²θ/cos²θ) + (sin²θ/cos²θ)

= (cos²θ + sin²θ) / cos²θ

= 1/cos²θ

= sec²θ

marissa [1.9K]3 years ago

4 0

Answer:

option b)

tan²θ + 1 = sec²θ

Step-by-step explanation:

The Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem in terms of trigonometric functions.

hypotenuse² = height² + base²

Given in the questions are some pythagorus identities which except of b) are all incorrect as explained below.

sin²θ + 1 = cos²θ incorrect

<h3>sin²θ + cos²θ = 1 correct</h3><h3 /><h3>2)</h3>

by dividing first identity by cos²θ

sin²θ/cos²θ + cos²θ/cos²θ = 1/cos²θ

<h3>tan²θ + 1 = sec²θ correct</h3><h3 /><h3>3)</h3>

1 - cot²θ = cosec²θ incorrect

by dividing first identity by sin²θ

sin²θ/sin²θ + cos²θ/sin²θ = 1/sin²θ

<h3>1 + cot²θ = cosec²θ correct</h3><h3 /><h3>4)</h3>

1 - cos²θ = tan²θ

not such pythagorus identity exists

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Hoochie [10]

<h3>Answer: y = (3/4)x + 13/4</h3>

This is the same as writing y = 0.75x + 3.25

slope is 3/4 = 0.75

y intercept is 13/4 = 3.25

==========================================================

Explanation:

One marked point on this line is (-3,1)

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Let's find the slope of the line through these two points.

m = (y2-y1)/(x2-x1)

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Now let's use point slope form to find the equation of the line

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If you wanted, you can convert those decimal values to fraction form

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3.25 = 325/100 = 13/4

That means the equation

y = 0.75x + 3.25

is the same as

y = (3/4)x + 13/4

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