Posted by **rani** on Thursday, July 1, 2010 at 3:30am.

if cot theta =7/8 , evaluate (1+sin^2theta)(1-sin^2theta)/(1+cost^2theta)(1+co-^2theta)

the answer should be 49/64 but i couldnt get that answer. can any one help?

- maths -
**rani**, Thursday, July 1, 2010 at 3:32am
if cot theta =7/8 , evaluate (1+sin^2theta)(1-sin^2theta)/(1+cos^2theta)(1+cos-^2theta)

the answer should be 49/64 but i couldnt get that answer. can any one help?

- maths -
**Reiny**, Thursday, July 1, 2010 at 7:34am
if cotŲ = 7/8, then tanŲ = 8/7

make a sketch of the corresponding right-angled triangle to find the hypotenuse to be √113

so sinŲ = 8/√113 and cosŲ = 7/√113

then (1+sin^2theta)(1-sin^2theta)/(1+cos^2theta)(1+cos-^2theta)

= (1+64/113)(1-64/113)/(1+49/113)^2

= (1 - 64^2/113^2)/(162/113)^2

= (8673/113^2) / (26244/13^2)

= 8673/2644

≠ 49/64

check your typing of the expression, the end part of

cos-^2theta makes no sense

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