Answer:
Step-by-step explanation:
Cot is the inverse of tan. Therefore, the ratios are also inverses. The same goes for csc, which is the inverse of sin.
The tan ∠B = so the cot ∠B = so the first statement is false.
The sin ∠C = so the csc ∠C = so the second statement is false.
The tan ∠C = so the cot ∠C = so the third statement is false.
The sin ∠B = so the csc ∠B = which reduces to so the last statement is true!
Answer:
AB
Step-by-step explanation:
A) Here, sum of two non-adjacent angles: 52 + 25 = 77
Now, ∠3 = 180 - 77 [ sum of all angles in a triangle is 180 ]
so, ∠3 = 103
Now, ∠3 + ∠4 = 180 [ Supplementary angles ]
So, ∠4 = 180 - ∠3
∠4 = 180 - 103 = 77
∠4 = 77 [ which is sum of two non-adjacent angles ]
....Hence proved.
b) m∠4 = 77
[ Solved in previous section ]
Hope this helps!
4/5 ÷ 12 = 4/5 x 1/12 = 4/60 = 1/15
Answer: 1/15 m