77.4k views
4 votes
If cosA + secA = 2 prove cos⁴A + sec⁴A = 2.​

User Castilho
by
7.8k points

1 Answer

7 votes

Answer:

Explanation:

cos A+secA=2

squaring

cos²A+sec²A+2cosA sec A=4

cos²A+sec²A+2cos A/cos A=4

cos²A+sec²A+2=4

cos²A+se²A=4-2=2

again squaring

cos^4A+sec^4A+2cos²Asec²A=4

cos^4A+sec^4A+2=4

cos^4A+sec^4A=4-2=2

User Mmarion
by
8.6k points

Related questions

1 answer
3 votes
145k views
asked Nov 27, 2022 221k views
Abdul Khaliq asked Nov 27, 2022
by Abdul Khaliq
8.2k points
1 answer
4 votes
221k views