Solve trigonometric function: csc0 × tan0

Avinash Jethy asked May 6, 2023

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13 votes

Solve trigonometric function:
csc0 × tan0

Avinash Jethy asked May 6, 2023

2.8k points

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16 votes

Answer:

$\sec(\theta)$

Explanation:

$\csc(\theta)=(1)/(\sin(\theta))\\\\\\\tan(\theta)=(\sin(\theta))/(\cos(\theta))\\$

Therefore,

$\csc(\theta) * \tan(\theta)=(1)/(\sin(\theta))*(\sin(\theta))/(\cos(\theta))=(1)/(\cos(\theta))=\sec(\theta)\\$

Okas answered May 12, 2023

by Okas

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