Question

13. If A = 30°, verify that:
1.sin2A=2tanA/1+tan²A
2.cos2A=1-tan²A/1+tan²A
3.tan2A=2tanA/1-tan²A

Answer 1

Answer:

√3/2 = √3/2

Step-by-step explanation:

Q.1.

A=30°

sin2×30° = 2tan 30°/ 1+tan²30°

sin60° = 2tan 30° / 1+ tan²30°

√3/2 = 2 × 1/√3 / 1+ (1/√3)²

√3/2 = 2/√3. / 1 + 1/3

√3/2 = 2/√3 / 4/3

√3/2. = 2/√3 × 3/4

√3/2 = 3/ 2√3

√3/2 = 3×√3. / 2√3× √3

√3/2. = √3/2