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sec4(Θ) - sec2(Θ) = tan4(Θ) + tan2(Θ)
Factor each side: sec2(Θ) [sec2(Θ) - 1] = tan2(Θ) [tan2(Θ) + 1]
Use the identitiy: 1 + tan2(Θ) = sec2(Θ)
We can also write it as: tan2(Θ) = sec2(Θ) - 1
Substitute the first form of the identity in the right side: sec2(Θ) [sec2(Θ) - 1] = tan2(Θ) sec2(Θ)
Substitute the second form of the identity in the left side: sec2(Θ) tan2(Θ) = tan2(Θ) sec2(Θ)
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How do you verify cos2 theta divided by csc2 theta plus cos4 theta equals cos2 theta?
Using x instead of theta, cos2x/cosec2x + cos4x = cos2x*sin2x + cos4x = cos2x*(sin2x + cos2x) = cos2x*1 = cos2x
Can sine theta equals tan theta equals theta be equal for small angels?
Yes. (Theta in radians, and then approximately, not exactly.)
How do you figure this out Sin theta equals 0.0138 so theta equals what?
theta = arcsin(0.0138) is the principal value.
Sec squared theta plus tan squared theta equals to 13 12 and sec raised to 4 theta minus tan raised to 4 theta equals to how much?
It also equals 13 12.
What is cosine 2 theta when sine theta equals .28?
If sine theta is 0.28, then theta is 16.26 degrees. Cosine 2 theta, then, is 0.8432
