ANSWER : π/2

Explanation : :

ANSWER : (2811π/ 8000) ͨ

Explanation : : 1 degree=(π/180)radian decimal degrees=degrees+minutes/60+seconds/60 Given: 63°14'15" degrees=63+14/60+51/3600=226800+840+51 / 3600 1 deg-(π/180) radian (227691/360) deg-? required radian=227691/360 x π/180)=2811 x π/8000)

ANSWER : 1/2

Explanation : : SecƟ +tanƟ =√3 (i.e) 1/cos Ɵ + sin Ɵ / cos Ɵ =√3 (1+sinƟ )²=(√3 cos Ɵ )² 1+2 sinƟ+sin²Ɵ=3cos²Ɵ 1+2 sin²Ɵ+sin Ɵ-3+3 sin²Ɵ=0 2(2 sin²Ɵ+sinƟ-1)=0 sinƟ=-1±√1+8 / 2 x 2 =-1±3 / 4=-1,1/2 +ve value of sin Ɵ=1/2

ANSWER : x²+4y²=4

Explanation : : 2y cosƟ =x sin Ɵ =>x=2y cos Ɵ / sin Ɵ =2y cot Ɵ 2(2y cot Ɵ x sec Ɵ )-y cosec Ɵ =3 =>y(4 cosƟ / sin Ɵ x 1/cos Ɵ )-y x 1/sin Ɵ =3 y(4/sin Ɵ -1/sin Ɵ )=3 y(3/sin Ɵ )=3 =>y=3 sin Ɵ /3 =sin Ɵ x=2 * cos Ɵ / sin Ɵ x sin Ɵ x=2 cos Ɵ (x/2)=cos Ɵ (x/2)²(y)²=1 x²/4+y²=1 =>x²+4y²=1

ANSWER : 2.5

Explanation : : Given : A wheel rotates 3.5 times in 1 second. This means it rotates 7π radian in one second. 55 radians are covered in 55/7π=55 x 7 / 7 x 22=2.5