Maths4all Express Trigonometry Ratios In Terms Of Cot Sec Cosec
Maths4all Express Trigonometry Ratios In Terms Of Cot Sec Cosec Transcript. ex 8.3, 1 express the trigonometric ratios sin a, sec a and tan a in terms of cot a. tan a we know that tan a = 𝟏 𝒄𝒐𝒕𝑨 cosec a we know that 1 cot2 a = cosec2 a cosec2 a = 1 cot2 a cosec a = ± √ (1 𝑐𝑜𝑡2 𝐴) here, a is acute angle (i.e. less than 90°) & cosec a is positive when a is acute ∴ cosec. Question 1. express the trigonometric ratios sin a, sec a, and tan a in terms of cot asolution: (i) sin awe know thatcosec2a = 1 cot2a1 sin2a = 1 cot2asin2a = 1 (1 cot2a)sin a = 1 (1 cot2a)1 2(ii) sec a sec2a = 1 tan2asec2a = 1 1 cot2asec2a = (cot2a 1) cot2asec a = (cot2a 1)1 2 cot a(iii) tan atan a = 1 cot atan a = cot 1 a que.
Maths4all Express Trigonometry Ratios In Terms Of Cot Sec Cosec Trigonometric ratios identities. several trigonometric ratios identities make our calculations simpler such as: sin 2 θ cos 2 θ = 1; 1 tan 2 θ = sec 2 θ; 1 cot 2 θ = cosec 2 θ; there are also some variations of the above 3 identities, which are nothing but rearranging the ones given above. trigonometric ratios of complementary. Express the trigonometric ratios sin a, sec a and tan a in terms of cot a. solution: we will use the basic trigonometric identities and properties of the trigonometric ratios to solve the problem. consider a Δabc with ∠b = 90° using the trigonometric identity, cosec 2 a = 1 cot 2 a (by taking reciprocal both the sides) 1 cosec 2 a = 1 (1. Q. express the trigonometric ratios sina seca and tana in terms of cota. q. question 1. express the trigonometric ratios sin a , sec a and tan a in terms of cot a. q. express the trigonometric ratio tan a in terms of sec a. q. express cosa in terms of other trigonometric ratios. view more. Trigonometric ratios (definition, formulas, examples).
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