Cos of 165 degrees
Using the half angle formula find the cosine of 165 degrees.
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Find cos 165 deg Ans: − √2 +√3 2 Explanation: Call cos 165 = cos t ->> cos 2t = cos 330 = cos (-30 + 360) = cos -30 = cos30 = √3 2. Use trig identity: cos2t = 2cos2t − 1 2cos2t = 1 + √3 2 = 2 + √3 2 cos2t = 2 + √3 4 cos165 = cost = ± √2 + √3 2 Since 165 deg is in Quadrant II, take the negative number as answer. Answer link.
Use our cos(x) calculator to find the cosine of -165 degrees - cos(-165 °) - or the cosine of any angle in degrees and in radians.
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Applying the unit-circle definition found on our homepage, assumed r = 1, in the intersection of the point (x,y) and the circle, y = sin 165°, x = cos 165° and tg 165° = sin 165°/cos 165°. Note that you can locate many terms including the tangent165° value using the search form. On mobile devices you can find it by scrolling down. in this problem, we're going to be evaluating the coastline function of 165 degrees, 165 degrees is not easy to work with. So our first goal here is to break down 165 degrees into the sum of two easier angles to work with. Let's start by writing co sign off 165 degrees is also equal to co sign of the following two, Ingles added. Together we can break 1 65 into 120 degrees, for which we.
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tg 165 degrees = -2+√3 The tg of 165 degrees is -2+√3, the same as tg of 165 degrees in radians. To obtain 165 degrees in radian multiply 165° by $\pi$ / 180° = 11/12 $\pi$. Tg 165degrees = tg (11/12 × $\pi)$. Our results of tg165° have been rounded to five decimal places.
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Sin 165° in Terms of Trigonometric Functions Using trigonometry formulas, we can represent the sin 165 degrees as: ± √ (1-cos² (165°)) ± tan 165°/√ (1 + tan² (165°)) ± 1/√ (1 + cot² (165°)) ± √ (sec² (165°) - 1)/sec 165° 1/cosec 165° Note: Since 165° lies in the 2nd Quadrant, the final value of sin 165° will be positive.
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