Question

guys answer this question. fastest will be marked as brainliest

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Answer 1

Working out:

First of all, we are given trigonometric values of angles which are unknown and represented with variables A and B. The given data:

• tan (A - B) = 1/√3
• tan (A + B) = 1

Refer to the trigonometric table. Hence, tan 30° is equals to 1/√3, So we can write that,

➝ tan (A - B) = tan 30°

Now as the angle is satisfying the above equation, let's remove tan from both sides,

➝ A - B = 30° -------------(1)

Now, let's refer to the attachment once again. tan 45° is equals to 1, So we can write that,

➝ tan (A + B) = tan 45°

Now as the angle is satisfying the above equation, let's remove tan from both sides,

➝ A + B = 45° -------------(2)

Add, equation (1) and equation (2),

➝ A - B + A + B = 75°

➝ 2A = 75°

➝ A = 37.5°

Then, B = 45° - 37.5° = 7.5°

So, we had to find A:

$\large{ \boxed{ \bf{ \red{a = 37.5 \degree}}}}$

And, we are done !!

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Answer 2

Answer:

$\huge\fcolorbox{black}{green}{Solution:-}$

Working out:

First of all, we are given trigonometric values of angles which are unknown and represented with variables A and B. The given data:

tan (A - B) = 1/√3

tan (A + B) = 1

Refer to the trigonometric table. Hence, tan 30° is equals to 1/√3, So we can write that,

➝ tan (A - B) = tan 30°

Now as the angle is satisfying the above equation, let's remove tan from both sides,

➝ A - B = 30° -------------(1)

Now, let's refer to the attachment once again. tan 45° is equals to 1, So we can write that,

➝ tan (A + B) = tan 45°

Now as the angle is satisfying the above equation, let's remove tan from both sides,

➝ A + B = 45° -------------(2)

Add, equation (1) and equation (2),

➝ A - B + A + B = 75°

➝ 2A = 75°

➝ A = 37.5°

Then, B = 45° - 37.5° = 7.5°

So, we had to find A:

$➝\large{ \boxed{ \bf{ \blue{a = 37.5 \degree}}}}$

And, we are done !!

━━━━━━━━━━━━━━━━━━━━