Question

what would be the next step?!....

Answer 1

HEY BUDDY!!!

____SOLUTION_____

NEXT STEP

[(COSØ + SINØ + 1)(COSØ + SINØ - 1)] / (COSØ)(SINØ)

= [( COSØ + SINØ)² - 1²)] / COSØSINØ

= [( COS²Ø + SIN²Ø + 2COSØSINØ ) - 1] / COSØSINØ

= [( COS²Ø + SIN²Ø) + 2COSØSINØ - 1] / COSØSINØ

WE ALREADY KNOW THAT...
COS²Ø + SIN²Ø = 1.....

THEN

= [ 1 + 2COSØSINØ - 1] / COSØSINØ

= [ 1 - 1 + 2COSØSINØ] / COSØSINØ

= [ 2COSØSINØ] / COSØSINØ

= 2


YOUR ANSWER IS 2


HOPE IT HELPS UH ....✨✨

#krishn12☯

Answer 2

Answer:

2

Step-by-step explanation:

⇒ [(cosθ + sinθ+1)(sinθ + cosθ-1)]/cosθ sinθ

We know that (a + b)(a - b) = a² - b²

Here,a = cosθ + sinθ,b = 1

⇒ [(cosθ + sinθ)² - (1)²]/cosθ sinθ

We know that (a + b)² = a² + b² + 2ab.

⇒ [cos²θ + sin²θ + 2cosθ sinθ - 1]/cosθ sinθ

⇒ [1 + 2cosθsinθ - 1]/cosθ sinθ

⇒ 2 sinθ cosθ/cosθ sinθ

⇒ 2.

Hope it helps!