13. (1 - sec² theta) (1 -cos ec² theta -1) =
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Step-by-step explanation:
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Step-by-step explanation:
1-sec^2 theta=-tan^2 theta
And
1-cosec^2 theta =-cot^2 theta;
cot^2 theta+1=cosec^2 theta;
By this
(1-sec^2 theta)(1-cosec^2 theta-1)
=(-tan^2 theta)(-cot^2 theta -1)
=(-tan^2 theta)(-(cot^2 theta +1)
=(-tan^2 theta)(-cosec^2 theta)
=sin^2 theta/cos^2 theta*1/sin^2 theta
=1/cos^2 theta
=sec^2 theta
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