Question

Find value of sin(60 +A) - cos(30-A)

Answer 1

cos (30° - θ) = cos { 90° -(60° + θ)}= sin(60°+ θ)

Now, Sin(60° + θ) - cos(30° - θ)

= Sin(60° + θ) - sin(60°+ θ)

= 0

Answer 2

sin(60° + A) - cos(30° - A) = 0

Step-by-step explanation:

Now, sin(60° + A) - cos(30° - A)

= sin(90° - 30° + A) - cos(30° - A)

= sin{90° - (30° - A)} - cos(30° - A)

= cos(30° - A) - cos(30° - A)

= 0

Trigonometry: Trigonometry is the study of angles and relations between angles and their sin, cos, tan, cosec, sec, cot ratios. There are many formulae for calculations:

• sin²A + cos²A = 1

• sec²A - tan²A = 1

• cosec²A - cot²A = 1

• sin2A = 2 sinA cosA

• cos2A = cos²A - sin²A

• tan2A = 2 tanA / (1 - tan²A)

• sin(90° - A) = cosA

• cos(90° - A) = sinA