Question

tan= cot then the acute angle is 30​

Answer 1

Step-by-step explanation:

Given:

$tan \: \theta = cot\: \theta$

To find: The Value of acute angle theta is 30°?State true of false.

Solution:

We know that

$\bold{cot\: \theta =tan( 90° - \theta )}$

Step 1: Take trigonometric expression

$tan \: \theta = cot \: \theta$

Step 2: Put formula in R.H.S.

$tan \: \theta = tan \: (90° - \theta)$

Step 3: Cancel tan from both sides

$\theta = 90° - \theta$

Step 4:Solve for theta

$2\theta = 90° \\ \\ \theta = \frac{90°}{2} \\ \\ \theta = 45°$

Thus,

If

$tan \: \theta = cot\: \theta$

then it is true for 45°,as angle taken should be acute.

Final Answer: The trigonometric expression is true for 45°.

Hope it helps you.

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