Find the value ofsec A. tan A+tan2A – cosec A, if tan A =2

Q42 of 268 Page 4

Find the value of
sec A. tan A+tan²A – cosec A, if tan A =2

Given: tan A = 2 ⇒ tan²A = 4

We know that, sec² A = 1+ tan²A

⇒ sec² A = 1 + 4

⇒ sec² A = 5

⇒ sec A =√5

Now, we know that tan A

⇒ 2 =√5 sin A

Now, putting all the values in the given equation, we get

sec A. tan A+tan²A – cosec A

Find the value of

sin A. cos B + cos A. sin B. if and tan B = √3.

Find the value of

, if sin A = and cos B=

Find the value of

, if cosec A = 2

If , prove that : 3 cos B – 4cos³ B = 0