Question

(1+tan theta)^2+(1+cot theta)^2=(sec theta+cosen theta)^2 eliminate the theta
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Answer 1

Answer:

we can't eliminate the Ø.

because, This is true for all values of Ø.

Step-by-step explanation:

(1+tanØ)²+(1+cotØ)² = (secØ+cosecØ)²

1+tan²Ø+2tanØ+1+cot²Ø+2cotØ=(secØ+cosecØ)²

sec²Ø+cosec²Ø+2(tanØ+cotØ) = (secØ+cosecØ)²

sec²Ø+cosec²Ø+2secØ.cosecØ(sin²Ø+cos²Ø) = (secØ+cosecØ)²

we know that, sin²Ø+cos²Ø = 1

so,

sec²Ø+cosec²Ø+2secØ.cosecØ=(secØ+cosecØ)²

(secØ+cosecØ)² = (secØ+cosecØ)²

so,

we can't eliminate the Ø.