Question

if c
ot 52° =b, tan 38°=?​

Answer 1

Answer:

b

Step-by-step explanation:

One general formula is :

cot (90° - θ) = tan θ

Using this,

cot 52° = b

cot (90° - 38°) = b

According to formula, cot (90° - 38°) = tan 38°

So, tan 38° = b

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Answer 2

If cot 52° = b then tan 38° is also b.

Explanation:

According to the Trigonometric identity :

$\tan\theta=\cot(90^{\circ}-\theta)$      (1)

We are given that : $\cot 52^{\circ}=b$

To find : The value of $\tan38^{\circ}$

Consider  $\tan38^{\circ}$

$=\cot(90^{\circ}-38^{\circ})$   [By using (1)$\tan\theta=\cot(90^{\circ}-\theta)$]

$=\cot52^{\circ}=b$   (Given)

Therefore , the value of $\tan38^{\circ}$ is b.

# Learn more :

Show that : (i) tan 48° tan 23° tan 42° tan 67° = 1 (ii) cos 38° cos 52° – sin 38° sin 52° = 0

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