If sin theta + cos theta=mand sec theta+ cosec theta =n then n(m+1)(m-1)=?

sin A + cos A = m -- equation (1)

sec A + Cosec A = n -- equation (2).

value of  n(m+1)(m-1)

We have to find:

n(m + 1)(m - 1)

using (a + b)(a - b) = a² - b² we get,

⟹ n (m² - 1²)

⟹ m²n - n

Putting the values from equations (1) & (2) we get,

⟹ (sin A + cos A)² * (sec A + Cosec A) -

(sec A + Cosec A)

(a + b)² = a² + b² + 2ab

⟹ (sin² A + cos² A + 2sin A Cos A ) * (sec A + Cosec A) - sec A - Cosec A

using the identity sin² A + cos² A = 1 we get,

⟹ ( 1 + 2 sin A cos A ) * (sec A + Cosec A) - sec A - Cosec A

⟹ 1(sec A + Cosec A) + 2sin A cos A(sec A + Cosec A) - sec A - Cosec A

⟹ sec A + Cosec A + 2 sin A * cos A * sec A + 2 sin A cos A Cosec A - sec A - Cosec A

using sin A * Cosec A = 1 & cos A * sec A = 1 we get,

( sec A + Cosec A & - sec A - Cosec A are being cancelled )

⟹ 2 sin A + 2 cos A

⟹ 2 (sin A + cos A)

Putting the value sin A + cos A from equation (1) we get,

⟹ 2m

∴ n (m + 1)(m - 1) = 2m.

I hope it will help you.

Regards.

Step-by-step explanation:

m=sinθ+cosθ⟹m

2

=sin

2

θ+cos

2

θ+2sinθcosθ=1+2sinθcosθ

⟹sinθcosθ=

2

m

2

−1

n=secθ+cosecθ=

sinθcosθ

sinθ+cosθ

=

2

m

2

−1

m

⟹n(m

2

−1)=2m⟹n(m+1)(m−1)=2m

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.

sina-sinb

cosb+cosa

tana-tanb

cos0+cos x pi/3

20tan

step-by-step explanation: