Question

If A + B = 90°, then prove that: :
sin A sin B cos A sec B + cos A cos B sin A cosec B = 1.
URGENT​

Answer 1

Answer:

By turning over the upper layer of the soil, weeds that are growing between the crops will be placed under the soil. In this way, farmers get rid of them and use them to increase fertility at the same time. Tilling increases air spaces between soil particles so that the roots of plants can grow deeper into the soil.

Explanation:

Answer 2

Answer:

A + B = 90° => A = 90 - B

So Tan A = Cot (90 - A) = Cot B

So Tan B = Cot (90 - B) = Cot A

SecB = Cosec (90 -B) = Cosec A

CosA = Sin (90 -A) = Sin B

substitute these in the LHS,

TanA\ TanB+\frac{TanA\ CotB}{SinA \ SecB}-\frac{Sin^2B}{Cos^2A}\\\\=TanA\ CotA + \frac{TanA\ TanA}{SinA\ CosecA}-\frac{Sin^2B}{Sin^2B}\\\\=1+Tan^2A - 1=Tan^2A