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3 years ago

If secA=2/√3 find the value of tanA/cosA+1+sinA/tanA

Mathematics

1 answer:

Gnom [1K]3 years ago

5 0

Answer:

(10 + 3√3) / 6.

Step-by-step explanation:

cosA = 1/secA = 1 / 2/√3 = √3 /2.

If we consider a 30-60-90 triangle if cosA = √3/2, sinA = 1/2 and

tanA = 1/√3.

So the answer is:

1/√3 / √3 /2. + 1 + 1/2 / 1/√3

= 2/3 + 1 + √3/2

= 5/3 + √3 /2

= (10 + 3√3) / 6.

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