Simplify \(\cot 10 + \tan 5.\)
Enter your answer as a trigonometric function evaluated at an integer, such as "sin 7".
You are supposed to use sum and difference, but how do u subtract or add to angles 5 and 10
cot 10° + tan 5° =
cot (2 * 5°) + tan 5° =
cot^2 (5°) - 1 tan (5°)
___________ +
2cot (5°)
cot ^2 (5°) - 1 + 2cot(5°)tan(5°)
____________________________
2 cot (5°)
cot^2(5°) - 1 + 2
________________
2cot (5°)
cot ^2(5°) + 1
_____________
2cot(5°)
csc^2(5°)
________
2cot (5°)
1
_________
sin^2 (5°)
_________________
2 cos (5°)
__________
sin (5°)
1
_______
sin (5°)
_________________
2 cos (5°)
(1/2) csc(5°) ( sec5°) ≈ 5.76