Question

Which of the following is a CORRECT trigonometric ratio involving right triangles?

a. sin = opposite/hypotenuse
b. cos = hypotenuse/adjacent
b. tan = adjacent/hypotenuse
d. cot = opposite/adjacent​

Answer 1

Answer:

Option a)

Step-by-step explanation:

according to my knowledge your questions right answer is option A that is sin is equal to opposite side by hypotenuse.

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Answer 2

Answer:

sin = Opposite/Hypotenuse

Explanation:

In a right angled triangle, consider an angle theta ‘θ’

(refer attachment)

Their trigonometric identities will be as follows:

• sin θ = Opposite side ÷ Hypotenuse
• cos θ = Adjacent side ÷ Hypotenuse
• tan θ = Opposite side ÷ Adjacent side = sin θ ÷ cos θ
• Cosec θ = 1 ÷ sin θ
• sec θ = 1 ÷ cos θ
• cot θ = 1 ÷ tan θ

Some important trignometric identities:

• sin²θ + cos²θ = 1
• 1 + tan²θ = sec²θ
• 1 + cot²θ = cosec²θ

All these 3 identities can be easily derived from Pythagoras theorem.