Question

In sin theta + cos theta =√2 cos theta theta is not90° the value of tan theta is

Answer 1

$\huge\underline\blue{\sf Given:}$

Sin@+cos@ = √2cos@

Find :- Tan@

sin@+cos@ = √2cos@

sin@ = √2cos@ - cos@

sin@ = cos@(√2-1)

$\huge{\frac{</strong><strong>sin@</strong><strong>}{</strong><strong>cos@</strong><strong>}}$ = (√2-1)

$\large\red{\boxed{\sf </strong><strong>Tan@</strong><strong>\</strong><strong>:</strong><strong>=</strong><strong>(\sqrt{2} - 1)</strong><strong>}</strong><strong>}$

Answer 2

Answer

sinΦ + cosΦ = √2 cosΦ

sinΦ = √2 cosΦ - cosΦ

sinΦ = cosΦ (√2-1)

sinΦ / cosΦ = √ 2 - 1

TanΦ = √ 2 - 1