A student claims that tan^2 0+1 = sec^2 0 can be converted to sin^2 0 + cos^2 0 = 1. which sequence of steps supports this claim

Question

Neko [114]

2 years ago

6

A student claims that tan^2 0+1 = sec^2 0 can be converted to sin^2 0 + cos^2 0 = 1. which sequence of steps supports this claim

?

Mathematics

1 answer:

Masteriza [31] · Answer 1 · 2023-09-10T17:14:19+03:00

Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

<h3>What is Trigonometry?</h3>

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles.

Here,

tan²θ + 1 = sec²θ

sin²θ/cos²θ + 1 = 1/cos²θ

By taking LCM, we get

(sin²θ + cos²θ)/cos²θ = 1/cos²θ

(sin²θ + cos²θ) = cos²θ/cos²θ

(sin²θ + cos²θ) = 1

Thus, Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

Learn more about Trigonometry from:

brainly.com/question/22698523

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