Question

evaluate without using trigonometric table: (sin75 . cos 15 + cos75 . sin 15) / cot5 . cot30 . cot35 . cot 55 . cot 85. best answer will get brainliest​

Answer 1

sin 75. cos(90-75) + cos 75 sin (90-75)

sin75.sin75 + cos75 sin75

sin^2 75+ cos^2 75 = 1

1/(cot 5 x √3 x cot(90-15) . cot (90-45) cot (90-5)

1/(√3 . tan 15 tan 45)

1/(√3 . tan 15)

Answer 2

(sin75.cos(90-75)+cos75.sin(90-75))/cot5.cot30.cot35.cot(90-35).cot(90-5)

(sin^2 (75)+cos^2 (75))/cot5.cot30.cot35.tan35.tan5

1/cot30. ( [email protected]@=1)

tan30

3^1/2