If 3tan A=4, then prove that :

1) Root sec A - cosec A / sec A + cosec A = 1/ Root 3

2) Root 1-sin A / 1+cos A = 1/2root2

Question

If 3tan A=4, then prove that :
1) Root sec A - cosec A / sec A + cosec A = 1/ Root 3
2) Root 1-sin A / 1+cos A = 1/2root2

Anuradha Sharma · Accepted Answer

Given, 3tanA=4or tanA=43=perpendicularBaseSo
hypotenuse=perpendicular2+Base2=16+9=25=5secA= hypotenusebase = 53,
cosecA=hypotenuseperpendicular = 54, sin A = 1cosec A = 45 ; cos A
= 1sec A = 35So secA-cosecAsecA+cosecA=53-5453+54=5123512=17=17and
1-sinA1+cosA=1-451+35=18=122

If 3tan A=4, then prove that : 1) Root sec A - cosec A / sec A + cosec A = 1/ Root 3 2) Root 1-sin A / 1+cos A = 1/2root2

If 3tan A=4, then prove that :

1) Root sec A - cosec A / sec A + cosec A = 1/ Root 3

2) Root 1-sin A / 1+cos A = 1/2root2