Question

if Sin A=3/5 then find the value of cos A​

Answer 1

Solution:

Given,

→ sin A = 3/5

We have to find out the value of cos A.

We know that,

→ sin²A + cos²A = 1

So,

→ (3/5)² + cos²A = 1

→ cos²A = 1 - 9/25

→ cos²A = (25 - 9)/25

→ cos²A = 16/25

→ cos A = √16/25

→ cos A = 4/5

★ So, the value of cos A is 4/5.

Answer:

• cos A = 4/5

Trigonometry Formulae:

1. Relationship between sides.

• sin(x) = Height/Hypotenuse.
• cos(x) = Base/Hypotenuse.
• tan(x) = Height/Base.
• cot(x) = Base/Height.
• sec(x) = Hypotenuse/Base.
• cosec(x) = Hypotenuse/Height.

2. Square formulae.

• sin²x + cos²x = 1.
• cosec²x - cot²x = 1.
• sec²x - tan²x = 1

3. Reciprocal Relationship.

• sin(x) = 1/cosec(x).
• cos(x) = 1/sec(x).
• tan(x) = 1/cot(x).

4. Cofunction identities.

• sin(90° - x) = cos(x) and vice versa.
• cosec(90° - x) = sec(x) and vice versa.
• tan(90° - x) = cot(x) and vice versa.

•••♪

Answer 2

Answer:

refer the attachment above

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