Question

Trigonometry:
sin (60°+theta) - cos(30°- theta) is equal to??

Answer 1

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Answer 2

Answer:

$Value \: of \: sin (60\degree + \theta) - cos(30\degree- \theta)= \green {0}$

Step-by-step explanation:

$Value \: of \: sin (60\degree + \theta) - cos(30\degree- \theta)$

$= sin [(90-30)\degree + \theta] - cos(30\degree- \theta)$

$= sin [90\degree-(30\degree - \theta)] - cos(30\degree- \theta)$

$= cos(30\degree - \theta) - cos(30\degree - \theta)$

$\boxed { \blue {sin(90-\theta) = cos\theta}}$

$= 0$

Therefore.,

$Value \: of \: sin (60\degree + \theta) - cos(30\degree- \theta)= \green {0}$

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