what is sin squared theta equal to

what is sin squared theta equal to Solution We will use the sin squared x formula sin 2 x 1 cos 2 x to prove this sin2x sin4x sin2x 1 sin2x sin2xcos2x 1 cos2x cos2x cos2x cos4x sin 2 x sin 4 x sin 2 x 1 sin 2 x sin 2 x cos 2 x 1 cos 2 x cos 2 x cos 2 x cos 4 Answer The given identity is proved

The Pythagorean Theorem says that in a right triangle the square of a plus the square of b is equal to the square of c a 2 b 2 c 2 Dividing through by c 2 gives a 2 c 2 b 2 c 2 c 2 c 2 This can be simplified to ac 2 bc 2 1 a c is Opposite Hypotenuse which is sin b c is Adjacent Hypotenuse which is cos So a Sin 1 Csc or Csc 1 Sin Cos 1 Sec or Sec 1 Cos Tan 1 Cot or Cot 1 Tan Pythagorean Trigonometric Identities There are three Pythagorean trigonometric identities in trigonometry that are based on the right triangle theorem or Pythagoras theorem sin 2 a cos 2 a 1 1 tan 2 a sec 2 a

what is sin squared theta equal to

what is sin squared theta equal to
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Sin Square Theta Cos Square Theta 1 How To Prove YouTube
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Sin Square Theta Cos Square Theta Equal To 1
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Well the one thing that we do know and this is the most fundamental trig identity this comes straight out of the unit circle is that cosine squared theta plus sine squared theta is equal to 1 And then if we subtract sine squared theta from both sides we get cosine squared theta is equal to 1 minus sine squared theta 1 cos 2 The square of sine function equals to the subtraction of square of cos function from one is called the sine squared formula It is also called as the square of sin function identity

Sin sin 360 sin 2pi sin sin pi sin sin 2pi see above cos cos 2pi cos cos 2pi and yes there are lots of others technically an infinite number of others since sin and cos are periodic and repeat every 2pi positive or negative So for example sin sin 2npi where n is any integer Solution Given cos x 5 13 sin 2 x 1 cos 2 x 1 5 13 2 1 25 169 144 169 Therefore sin x 12 13 Register at BYJU S to learn other mathematical concepts in an interesting way Sin squared formula is generated from trigonometric identities where sin square plus cos square equal to one

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arc Identities arctan theta tan 1 theta arcsin theta sin 1 theta arccos theta cos 1 theta Quotient and reciprocal identities tan theta dfrac sin theta cos theta cot theta dfrac cos theta sin theta dfrac csc theta sec theta dfrac 1 tan theta Sin 1 csc csc 1 sin cos 1 sec sec 1 cos tan 1 cot cot 1 tan

Sin Opposite Side Hypotenuse cos Adjacent Side Hypotenuse tan Opposite Side Adjacent Side sec Hypotenuse Adjacent Side cosec Hypotenuse Opposite Side cot Adjacent Side Opposite Side Reciprocal Identities The Reciprocal Identities are given as cosec 1 sin sec 1 cos cot 1 tan About Transcript The Pythagorean identity tells us that no matter what the value of is sin cos is equal to 1 This follows from the Pythagorean theorem which is why it s called the Pythagorean identity We can use this identity to solve various problems Created by Sal Khan Questions Tips Thanks Want to join the conversation Log in

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what is sin squared theta equal to - Solution Given cos x 5 13 sin 2 x 1 cos 2 x 1 5 13 2 1 25 169 144 169 Therefore sin x 12 13 Register at BYJU S to learn other mathematical concepts in an interesting way Sin squared formula is generated from trigonometric identities where sin square plus cos square equal to one