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3 years ago

What basic trigonometry identity would you use to identify that sin x cos x tan x = 1 - cos^2x

Mathematics

1 answer:

arsen [322]3 years ago

3 0

Answer:

tanx = sinx/cosx

Step-by-step explanation:

Given the expression

sin x cos x tan x = 1 - cos^2x

According to trigonometry identity

tan x = sinx/cosx

Substitute into the expression. From LHS

sin x cos x tan x

= sin x cos x (sinx/cosx)

= sin²x

Also since sin²x+cos²x = 1

Hence sin²x = 1 - cos²x (RHS)

The correct option is therefore tanx = sinx/cosx

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3 years ago

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4 years ago

What basic trigonometry identity would you use to identify that sin x cos x tan x = 1 - cos^2x￼

What basic trigonometry identity would you use to identify that sin x cos x tan x = 1 - cos^2x