Question

IS THERE ANY TRIGONOMETRY EXPERT WHO HAS THE CAPABLITY AND UNDERSTANDING TO SOLVE THIS QUESTION QUICKLY :
IF SIN THETA+COS THETA=√2 SIN(90-THETA), DETERMINE **COT THETA **
SEE CARE FULLY THAT IS SIN THETA AS MOST TIME PEOPLE SEES IT AS COS THETA AND CONVERT IT INTO SIN THETA .????!!!!!!!​

Answer 1

Step-by-step explanation:

sinA+cosA= √2sin(90−A)

=> 1/√2 sinA + 1/√2 cosA= sin (90-A)

=> sinA.cos45° + cosA + sin45°= sin(90-A)

=>(A+45°) = sin(90-A)

Equating

A+45=90−A

⇒2A=45°

⇒A=22× 1/2

A= π/8

∴cotA=cot π/8