Question

prove that tan² tetha +cot²tetha + 2 = sec² tetha × cosec²tetha​

Answer 1

Step-by-step explanation:

consider that theta as x

[tex]tan^{2}x + cot^{2} x + 2 = 1 + {tan}^{2} x + 1 + {cot}^{2} x \\ = {sec}^{2} x + cosec ^{2} x[/tex

sec sq.x +cosec sq.x=(1/cos sq.x)+(1/sin sq.x)=secsq.xcisecsq.x

by substitution it will proved