Question

দেখাও যে,
Sec75°=√6+√2

Answer 1

Answer:

see the answer

Step-by-step explanation:

please use english as others can also easily understand...coming on question

sec can be converted in cos, so

1/cos75

75 can be broken into 45+30, so

1/cos(45+30)      {using the property of cos(a+b)}

1/(cos45.cos30 - sin45.sin30) { as sin45=cos45= 1/root2 , cos30=root3/2 , sin30=1/2}

1/(1/root2. root3/2 - 1/root2. 1/2)

1/(root3/2root2 - 1/2root2) {solving the denominator}

2root2/root3 - 1

2root2. (root3 + 1) / (root3 - 1).(root3 + 1) {rationalizing the denominator}

2root2(root3 + 1) / (3 - 1) { (root3)^2=3}

root2.root3 + root2

root6 + root2

here is your answer...hope it helps you