Question

cos A/ cot A + sin A =

a) cot A
b) 2sin A
c) 2 cos A
d) sec A


please answer the question asap and please explain the answer​

Answer 1

Answer:

b) 2 sin A

Step-by-step explanation:

hope it helps you

Answer 2

Question:

cosA/cotA + sinA =

a) cotA

b) 2 sinA

c) 2 cosA

d) secA

Answer:

b) 2 sinA

Step-by-step explanation:

Given, cosA/cotA + sinA. We need to find out the correct of it from given options.

→ cosA/cotA + sinA

Using trigonometry formula i.e. cotA = cosA/sinA. Substitute value of cotA above to find out the value.

→ cosA/(cosA/sinA) + sinA

→ cosA × sinA/cosA + sinA

CosA cancel out, we left with,

→ sinA + sinA

→ 2 sinA

Therefore, the value of cosA/cotA + sinA is 2 sinA.

TRIGONOMETRY FORMULAS:

secØ = 1/cosØ, cosØ = 1/secØ

cosecØ = 1/sinØ, sinØ = 1/cosecØ

tanØ = sinØ/cosØ, cotØ = cosØ/sinØ

cotØ = 1/tanØ, tanØ = 1/cotØ

sin²Ø + cos²Ø = 1

tan²Ø + 1 = sec²Ø

1 + cot²Ø = cosec²Ø

sinØ = cos(90° - Ø)

cosØ = sin(90° - Ø)

tanØ = cot(90° - Ø)