Question

If sin theta + cos theta = cos theta, (theta is not equal to 90 degree) then the value of tan theta is:

Answer 1

Step-by-step explanation:

Let theta=X

sin x + cos x = 2^1/2 cos x

sin x/ cos x + cos x/ cos x = 2^1/2 cos x/

COS X

tan x + 1 = (2)^1/2 divided by( cos x)

tan x = (2)^1/2 - 1 = 0.4142

tan theta = tan x = 0.4142

tan theta = 0.4142

Answer 2

SOLUTION

CORRECT QUESTION

Complete question refer to link :

https://brainly.in/question/12782494

GIVEN

$\displaystyle \sf{ sin \theta + cos \theta = \sqrt{2} cos\theta}$

Where θ ≠ 90°

TO DETERMINE

The value of tan θ

EVALUATION

Here it is given that

$\displaystyle \sf{ sin \theta + cos \theta = \sqrt{2} cos\theta}$

$\displaystyle \sf{ \implies \: sin \theta = \sqrt{2} cos\theta - cos \theta }$

$\displaystyle \sf{ \implies \: sin \theta =( \sqrt{2} -1) cos \theta }$

$\displaystyle \sf{ \implies \: \frac{sin \theta }{cos \theta } =( \sqrt{2} -1) }$

$\displaystyle \sf{ \implies \: \tan \theta = \sqrt{2} -1}$

FINAL ANSWER

$\displaystyle \sf{ \: \tan \theta = \sqrt{2} -1}$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ if x cos a=8 and 15cosec a=8sec a then the value of x is

a) 20 b)16 c)17 d)13

https://brainly.in/question/46325503

2. 7 cos 30° + 5 tan 30° + 6 cot 60° is

https://brainly.in/question/46167849

3. 1+ sin2α = 3 sinα cosα, then values of cot α are

https://brainly.in/question/46265791