Question

If Sec O = 5/4 than find cost and tan O.​

Answer 1

Answer:

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Explanation:

Sec O= 5/4

Cos O = 4/5. ( Cos0= 1/secO)

1+tan^20 = sec^2O

1+ tan^2O = (5/4)^2

= 25/16-1

=25 - 16/16

= 9/16

= 3/4(taking square root)

TanO = 3/4

Answer 2

Answer:

The answer will be:

cos θ = 4/5;

tan θ = 3/4;

Explanation:

Given;

sec θ = 5/4;

We know that sec θ = 1/cos θ;

Thus, cos θ = 1 / sec θ;

= 1 / (5/4);

= 4/5;

We know that, sec θ = Hypotaneus/ Base of triangle.

From given and the above formula, we can conclude that;

Hypotaneus = 5;

Base of triangle = 4;

Hence, height equal;

√{(5)^2 - (4)^2};

√(25 - 16);

√9;

3 units.

Thus, the height of the triangle = 3 units.

Now, tan θ = Height / Base;

Thus, tan θ = 3/4;

That's all.