Question

If sin theta + cos theta is equal to 2 find sin 15 theta minus cos 15 theta + 4 sin theta into cosec theta

Answer 1

Answer:

sin theta + cos theta can never be equals to 2 for same theta.

Step-by-step explanation:

max value of sin or cos is 1.

but for sin90=1 then cos90=0; sum=1;

if sin0=0, then cost=1; again sum=1;

sin45=cos45= 1/√2 again sum = √2

however if you meant sin theta + cos theta =√2

then you know theta is 45°

so:

sin 15theta - cos 15 theta + 4 sin theta × cosec theta

= sin 15×45 - cos 15×45+ 4 sin 45 × cosec 45

= sin 675 - cos 675 + 4× 1/√2 ×1/√2

= .428 - (-.903)+ 2

= 3.331