Question

Evaluate tan 16°, tan 82°, cot 74°,cot 8°

Answer 1

Answer:

tan 16×tan 82× cot 74×cot 8

tan theta = cot 90-theta

cot theta= tan 90-theta

tan 16× 1/cot 8×1/tan 16×cot 8

therefore the answer is 1

Answer 2

Answer:

The given question has been evaluated and that the value is determined as 1.

Step-by-step explanation:

Given:

Evaluate tan 16°, tan 82°, cot 74°,cot 8°

Solution:

tan θ = cot 90 – θ,

Therefore cot  θ = tan 90 – θ

Substituting in the given expression, we get

$(Tan 16) \times( \frac{1}{cot 8}) \times  (\frac{1}{tan 16}) \times cot 8$ = 1 .

Result:

The given question has been evaluated and that the value is determined as 1.

Learn more about Trigonometry:

Q: Express cot 85° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°

Link: https://brainly.in/question/127044

Q: If tan θ =15/8,Find the values of all T-ratios of θ.

Link: https://brainly.in/question/3499156