Question

Q1. 9a²-1
Q2. a³ - 27
Q3. a³ + 125b³
Q4. 27a²+ 343
Q5. 16a⁴+54a
Q6. x²+5x +6
Q7. 2x²+7x+6
Q8. 12x²-7x+1
Q9. (2x+3y)²
Q10. (3a-5b)²
(Algebra)​

Answer 1

theta = 17/8. Csc theta = 1/ sin theta

This gives sin theta = 1/csc theta= 1/(17/8)=8/17

In trigonometry, sin theta=opposite side/hypotenuse.

By the Pythagorean theorem, a^2+b^2=c^2, where a and b are sides and c is the hypotenuse.

Letting a=8 and c=17, we have b^2=c^2-a^2

b^2=(17)^2-(8)^2

b^2=289–64=225; b=15

This is the adjacent side to theta, giving cos theta=15/17

Since tan theta = sin theta/cos theta , tan theta = (8/17)/(15/17)=8/15

cot theta = 1/tan theta = 1/(8/15)= 15/8. ANS.