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Statement 1: tan^(2)(sec^(-1)2)+cot^(2)(...

Statement 1: `tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3)=11`.
Statement -2 `:tan^(2)theta+sec^(2)theta=1=cot^(2)theta+cosec^(2)theta`

A

Statement -1 is true, Statement -2 is true and Statement -2 is correct explanation for Statement -1

B

Statement -1 is true, Statement -2 is true and Statement -2 is not correct explanation for Statement -1

C

Statement -1 is true, Statement -2 is false

D

Statement -1 is false Statement -2 is true

Text Solution

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The correct Answer is:
C
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tan^(2)theta+cot^(2)theta+2=sec^(2)theta cosec^(2)theta

STATEMENT-1: tan(sec^(-1)2+cot^(2)(cos ec^(-1)3)=11 STATEMENT-2:tan^(2)theta+sec^(2)theta=1=cot^(2)theta+cos ec^(2)theta

Prove: tan^(2)theta+cot^(2)theta+2=sec^(2)theta.cosec^(2)theta .

prove that tan^(2)theta+cot^(2)theta=sec^(2)theta+cosec^(2)theta-2

prove that: tan^(2) theta-cot^(2) theta=sec^(2) theta- cosec^(2) theta

Prove : cot^(2) theta-tan^(2)theta=cosec^(2)theta-sec^(2)theta

Write the value of (tan^(2)theta-sec^(2)theta)/(cot^(2)theta-"cosec"^(2)theta).

Prove: cot^(2)theta- tan^(2) theta=cosec^(2)theta-sec^(2)theta .

Prove that;- ((tan^2theta)/(sec^2theta))+((cot^2theta)/(cosec^2theta))=1

sec^(2)theta+csc^(2)theta=(tan theta+cot theta)^(2)

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