Question

If asinθ=1, btanθ=1; then prove that a^2-b^2=1

Answer 1

asin@=1,
then
a=1/sin@,

[email protected](1),

btan@=1,

then
b=1/tan@,

[email protected](2),

therefore
a²-b²=cosec²@-cot²@,

a²-b²=1,

since
cosec²@-cot²@=1