Question

ii)
${?}^{2}$
sin A+ cosec A)^{2} +(cos A + sec) ^{2} = 7+tan? A+ cot? A
​

Answer 1

Step-by-step explanation:

(sinA+cosecA)²+(cosA+secA)²

=sin²A+2sinAcosecA+cosec²A+cos²A+2cosAsecA+sec²A

=(sin²A+cos²A)+2+2+cosec²A+cot²A

=1+4+(1+cot²A)+(1+tan²A)

=7+tan²A+cot²A