11. *If sin (3x) = cos (7x), where x is an angle between 0° and 90º, what will be the value of tan (5x)?
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Answer:
x = 9
tan (5x) = tan 45 = 1
Step-by-step explanation:
sin (3x) = cos (7x) equ (1)
sin (90 - 7x) = cos (7x)
substitute in (1)
sin 3x = sin (90 - 7x)
remove sin on both sides
3x = 90 - 7x
3x + 7x = 90
10x = 90
x = 90/10
x = 9
sin 3x = sin (3×9) = sin 27
cos 7x = cos (7×9) = cos 63
tan 5x = tan (5×9) = tan 45 = 1
hope you get your answer
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