ANSWER : (1+p²)³⁄₂

Explanation : : tan α=p Then sec α+ tan³ α Cosec α =Sec α(1+tan³ α Cosec α / sec α) =Sec α(1+ tan³ α Cosα / Sin α) =Sec α(1+tan³ α cot α) =Sec α (1+tan²α) =Sec α.Sec²α =Sec³ α Now tan α=P=P/1 Sec α=√P²+1 / 1 = √1+p² Sec α+tan³ α Cosec α =Sec³ α =(√1+p²)³ =(1+p²)³⁄₂

ANSWER : 1:2

Explanation : :

ANSWER : 3:2

Explanation : : AD,BE,EF are medians .The centroid G divides the medians in the ratio 2:1 AG=2/3 AD AD:AG=AD:2/3 AD=3:2

ANSWER : 60°,30°,90°

Explanation : : Let two angle be x° and y° Then x+y=90° x-y =30° 2x=120 x= 120/2 =60° y=90°-x=90°-60°=30° Third angle =18(x+y)=180°-90°=90° The angles of the triangle are 60°,30°,90°

ANSWER : 50°

Explanation : : 65+65+∟C=180 ∟C=180-130=50°