Question

If Cos 0 = -12/13 and ø lies in the third quadrant then tan ø is equal to​

Answer 1

Answer:

please tell your class please

Answer 2

Given :-

• cos ø = (-12/13) and ø lies in the third quadrant.

To Find :-

• tan ø = ?

Solution :-

As we know that,

→ cos ø = Base / Hypotenuse .

→ 12/13 = B / H

So,

→ B = 12

→ H = 13 .

Now, we know that,

→ B² + P² = H² { By pythagoras theorem . }

→ 12² + P² = 13²

→ P² = 13² - 12²

→ P² = 169 - 144

→ P² = 25

→ P = √25 = 5 .

Now, we also know that,

• Tan ø = Perpendicular / Base .
• In third quadrant tan ø is Positive.

therefore,

→ tan ø = P/B

→ tan ø = 5/12 (Ans.)

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