Question

If tan A = $\sf{\frac{12}{5}}$, find the other ratios:-
• sin A,
• cos A,
• cosec,
• sec A &
• cot A​

Answer 1

Answer:

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Answer 2

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tan θ = O/A( Opposite/ Hypotenuse )

By Using Pythagoras Theorem,

--》H² = O² + A²

--》H² = 12² + 5²

--》H² = 144 + 25

--》H² = 169

--》H = √169

--》H = 13

--》Sin θ = O/H = 12/13 --》 (1)

--》Tan θ = O/A = 12/5 --》(2)

--》Cos θ = A/H = 5/13 --》(3)

--》Cot θ = A/O = 5/12 --》(4)

--》Sec θ = H/A = 13/5 --》(5)

--》Cosec θ = H/O = 13/12 --》(6)

$\sf \:$

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