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Help ppppppppppppllllllllllllllllsssssssss

Help ppppppppppppllllllllllllllllsssssssss-example-1
User Spyter
by
8.1k points

2 Answers

6 votes

Answer:

The right choice is option (B) tan²θ + 1 = sec²θ

Explanation:

1 + (sin²θ/cos²θ)

= (cos²θ/cos²θ) + (sin²θ/cos²θ)

= (cos²θ + sin²θ) / cos²θ

= 1/cos²θ

= sec²θ

User Campbell
by
8.0k points
3 votes

Answer:

option b)

tan²θ + 1 = sec²θ

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.

1)

sin²θ + 1 = cos²θ incorrect

sin²θ + cos²θ = 1 correct

2)

by dividing first identity by cos²θ

sin²θ/cos²θ + cos²θ/cos²θ = 1/cos²θ

tan²θ + 1 = sec²θ correct

3)

1 - cot²θ = cosec²θ incorrect

by dividing first identity by sin²θ

sin²θ/sin²θ + cos²θ/sin²θ = 1/sin²θ

1 + cot²θ = cosec²θ correct

4)

1 - cos²θ = tan²θ

not such pythagorus identity exists

User Kilby
by
8.0k points

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