Question

cosec square 67 degree minus tan square 23 degree is​

Answer 1

$<font color="red"><b>$

hello..!

→ cosec²67° - tan²23°

»cosec²ø = sec²(90° - ø)«

→ cosec²67° - tan²(90° - 67°)

→ cosec²67° - sec²67°

→ 1 ""@π$""

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→thankà←

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Answer 2

$\csc^2 67-\tan^2 23=1$

Step-by-step explanation:

Given : Expression $\csc^2 67-\tan^2 23$

To find : The value of the expression ?

Solution :

Expression $\csc^2 67-\tan^2 23$

We know, $\tan(90-\theta)=\cot\theta$

We can write,

$\tan23=\tan(90-67)$

$\tan23=\cot 67$

$\tan^2 23=\cot^2 67$

Substitute in the expression,

$\csc^2 67-\tan^2 23=\csc^2 67-\cot^2 67$

By trigonometric property,

$\csc^2\theta+\cot^2\theta=1$

$\csc^2 67-\tan^2 23=1$

#Learn more

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