Answer on Question #40518 – Math – Trigonometry
cot ( 90-a) - tan (180-b) ÷ tan (90-a) + cot b
Solution:
We have to find the result of the expression:
tan(180° − b)
cot(90° − a) −
+ cot b (1)
tan(90° − a)
Formulas for the complementary angles:
cot(90° − a) = tan a (2)
tan(180° − b) = − tan b (3)
tan(90° − a) = cot a (4)
(2)and(3)and(4) in (1):
tan b
tan a − (−
) + cot b = tan a + tan b ∙ tan a + cot b
cot a
Answer: tan a + tan b ∙ tan a + cot b