Asked by Francis
If x and y are complementary angles and 5 tan x-12=0,calculate by using a diagram the value of 2sin(squared)x+cos y.
Answers
Answered by
Steve
sorry, no diagrams here
Answered by
Reiny
from 5tanx - 12 = 0
tanx = 12/5
make a sketch of a right-angled triangle, in quad I
where x is the angle at the origin, the other acute angle is y
the hypotenuse would be 13 , from the 5-12-13 right-angled triangle
then 2sin^2 x + cosy
= 2(12^2 / 13^2) + 12/13
= 288/169 + 12/13
= 444/169
tanx = 12/5
make a sketch of a right-angled triangle, in quad I
where x is the angle at the origin, the other acute angle is y
the hypotenuse would be 13 , from the 5-12-13 right-angled triangle
then 2sin^2 x + cosy
= 2(12^2 / 13^2) + 12/13
= 288/169 + 12/13
= 444/169
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