A counterexample for the expression sec(theta)/tan(theta)=sin(theta) is 45 degrees true of false

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14-06-2018
Mathematics

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A counterexample for the expression sec(theta)/tan(theta)=sin(theta) is 45 degrees true of false

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saadhussain514 saadhussain514 · Answer 1 · 2018-06-26T15:58:53+02:00

saadhussain514 saadhussain514

26-06-2018

A counterexample for the expression secФ / tanФ = sinФ is 45°
This is a FALSE statement.

Explanation:

Solving Right-hand side:

SecФ = 1 / CosФ

tanФ = SinФ / CosФ

secФ/tanФ = 1 / CosФ ÷ SinФ / CosФ

secФ/tanФ = 1 / CosФ × CosФ/SinФ

secФ/tanФ = CosФ / SinФCosФ

secФ/tanФ = 1 / SinФ

Hence,
Left-hand side ≠ Right-hand side

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stulikj1 stulikj1 · Answer 2 · 2020-05-31T02:06:01+02:00

stulikj1 stulikj1

31-05-2020

Answer:

Its TRUE!

Step-by-step explanation:

I just took the test!

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