Question

Is sin theta=tan45bysec45then find theta

Answer 1

Answer:

theta= 45°

Step-by-step explanation:

it is know that if sin theta= tan45°/sec45°

then  theta is 45°.

But u want explanation,

here is ur answer:

METHOD 1- sin theta=tan45°/sec45°

[tan45°=1, sec45°=√2]

sin theta=1/√2

[sin45°=1/√2]

sin theta= sin45°

theta=45°

but if we dont know the values then look here:

METHOD 2- sin theta=tan45°/sec45

[tan theta= sin theta/cos theta, sec theta=1/cos theta]

sin theta=sin45°/cos45°/1//cos45°

sin theta°=sin45°×cos45°/cos45°

[cos45°/cos45°]=1

sin theta= sin 45°

theta=45°

here is ur answer