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Ann [662]
2 years ago
5

Help ppppppppppppllllllllllllllllsssssssss

Mathematics
2 answers:
Zigmanuir [339]2 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]2 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.

<h3>1)</h3>

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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The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.
nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

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216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

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divide through by 3

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Now, lets solve!

h^2 + 6h - 12h - 72 = 0

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and

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Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches     .... correct

when h = -6inches

A = 18 * -6 ≠  216 square inches

So height is 12 inches

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