if 7sin 'square' a + 3cos 'square' a =4 , then show that tan a =1/ root 3
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Divide with cos^2a on both sides, we get
= 7 tan^2 a + 3 = 4/cos^2 a
= 7 tan^2 a + 3 = 4 sec^2 a
= 7 tan^2 a +3 = 4(1+tan^2 a)
= 7 tan^2 a +3 = 4 + 4 tan^2 a
= 3 tan^2 a = 1
= tan^2 a = 1/3
tan a = 1/ root 3
Hope this helps!
= 7 tan^2 a + 3 = 4/cos^2 a
= 7 tan^2 a + 3 = 4 sec^2 a
= 7 tan^2 a +3 = 4(1+tan^2 a)
= 7 tan^2 a +3 = 4 + 4 tan^2 a
= 3 tan^2 a = 1
= tan^2 a = 1/3
tan a = 1/ root 3
Hope this helps!
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