Question

(vi) sin (60° – 0) = cos (30° + 0)
[Hint. LHS = sin [90º – (30° + 0)]]​

Answer 1

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

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