Verify the Pythagorean Identity Math symbols Relations Geome

Verify the Pythagorean Identity Math symbols Relations Geometry Groups Trigonometry Statistics 19 of 25 Answered

We have given 1+cot²(theta)=csc²(theta)

take LHS=1+cot²(theta)

substitute cot(theta)=cos(theta)/sin(theta)

1+cot²(theta)=1+cos²(theta)/sin²(theta)

=[sin²(theta)+cos²(theta)]/sin²(theta)

plug sin²(theta)+cos²(theta)=1 and 1/sin²(theta)=csc²(theta)

=1/sin²(theta)

=csc²(theta)

=RHS

Therefore, the given identity is proved

$Verify the Pythagorean Identity Math symbols Relations Geometry Groups Trigonometry Statistics 19 of 25 Answered SolutionWe have given 1+cot2(theta)=csc2(theta$

Verify the Pythagorean Identity Math symbols Relations Geome

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