Question

Evaluate:
3 tan25°.tan40°.tan50°.tan65º-tan^2 60° /
4(cos^2 29º+cos^2 61°)​

Answer 1

Answer:

3 tan25°.tan40°.tan50°.tan65º-tan²60° /

4(cos² 29º+cos²61°)

3 tan25°.tan40°.tan50°.tan65º-tan²60° /

4(cos² 29º+sin²29°)

3 tan25°.tan40°.tan50°.tan65º-tan²60° /4

3 tan25°.tan49.cot40.cot25 -tan²60°/4

3-tan²60°/4

3-(√3)²/4 = 3-3/4 = 0

hope this helps you