Question

If x and y are complementary angles,then sin x=sin y tanx=tany cosx=cosy secx=cosecy

Answer 1

x and y are complementary    =>    x + y = 90°
 =>  sin x  = sin (90° - y) = cos y
=>  sin y = cos(90 - x) = cos x

Also,  tan y = Cot (90 - y) = Cot x
          sec x = Cosec (90 - x) = cosec y

sin y * tan x = cos x * sinx/cos x   = sin x

tan y * cos x  = cot y  * cos x    = cos y / sin y  * sin y
     = cos y  = sin x


cosec y = 1/siny = 1/cosx = sec x

Answer 2

Answer:

Step-by-step explanation:

sec x=  cosec y is the right option