First year CH#9 Guess paper(only short and long questions)

First year CH#9 99% Guess paper

SHORT QUESTIONS

1-Convert 18⁰22” to decimal form

2-Convert 22.5⁰ to D⁰M’S”

3-If theta = 1⁰ , r = 6400km then l=?

4-Find cos(theta) when cot(theta) = 4/5

5-Verify sin²3.14/6 : sin²3.14/4 = 1 : 2

6-Verify sin²3.14/6 + sin²3.14/3 + tan²3.14/4 = 2

7-Prove that cot⁴(theta) – cot²(theta) = cosec²(theta) – cosec²(theta)

8-Find r= ? when l = 56cm , theta = 45⁰

9-Find the area of sector if r = 4m , theta = 3.14 rad

10-cos²(theta) – sin²(theta) = 1-tan²(theta)/1+tan²(theta)

LONG QUSTIONS

1-Find the values of  cosec2(theta) – sec2(theta) / cosec2(theta) + sec2(theta) , if tan(theta) = 1/(7)^1/2

(theta is not in third quadrant)

2-Prove that sin⁶(theta) + cos⁶(theta) = 1-3sin²(theta)cos²(theta)