1 Express The Trigonometric Ratios Of Sin A Sec A And Tan A In Terms 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. For any sine value with respect to an acute angle in a triangle, the sine value will never be negative. therefore, sin a = 1 √ (1 cot 2 a) we know that, tan a = sin a cos a. however, we have, cot a = cos a sin a. therefore, we have, tan a = 1 cot a. also, sec 2 a = 1 tan 2 a (trigonometric identity).
Express The Trigonometric Ratios Sin A Sec A And Tan A In Terms Of Cot 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. Express sin 67° cos 75° in terms of trigonometric ratios of angles between 0° and 45° evaluate `(sin 18^@) (cos 72^@)` show that cos 38° cos 52° − sin 38° sin 52° = 0. if `sin theta = 1 sqrt2` find all other trigonometric ratios of angle θ. evaluate. cos 2 25° cos 2 65° tan 2 45° for triangle abc, show that : `sin (a b) 2. Step 1: express sin a in terms of cot a. we know that: sina= 1 √1 cot2a. this is derived from the pythagorean identity where sin2a cos2a=1 and the relationship between cota and sina. step 2: express sec a in terms of cot a. secant is defined as: seca= 1 cosa. using the identity sec2a=1 tan2a and knowing that tana= 1 cota, we can express sec a as:. Express the trigonometric ratios sin a, sec a and tan a in terms of cot a.maths class 10introduction to trigonometrychapter 8exercise 8.4, q.no. 1🔶we have.
Express The Trigonometric Ratios Sin A Sec A And Tan A In Terms Of Cot Step 1: express sin a in terms of cot a. we know that: sina= 1 √1 cot2a. this is derived from the pythagorean identity where sin2a cos2a=1 and the relationship between cota and sina. step 2: express sec a in terms of cot a. secant is defined as: seca= 1 cosa. using the identity sec2a=1 tan2a and knowing that tana= 1 cota, we can express sec a as:. Express the trigonometric ratios sin a, sec a and tan a in terms of cot a.maths class 10introduction to trigonometrychapter 8exercise 8.4, q.no. 1🔶we have. Note: in this particular problem, in order to represent $\sin a$ in terms of $\cot a$ we will firstly convert $\sin a$ in terms of ${\text{cosec}}a$ and then finally we will convert ${\text{cosec}}a$ in terms of $\cot a$. also, in order to convert $\sec a$ in terms of $\cot a$ we will firstly convert $\sec a$ in terms of $\tan a$ and then. Note: students should remember trigonometric identities like $1 co{t^2}a = \cos e{c^2}a$ and $1 {\tan ^2}a = {\sec ^2}a$ and trigonometric formulas for solving these types of questions.by some simple calculations and using trigonometric identities we can also write $\sin a,\sec a$ and $\tan a$ in terms of $\tan a$.
Express The Trigonometric Ratios Sin A Sec A And Tan A In Terms Of Cot Note: in this particular problem, in order to represent $\sin a$ in terms of $\cot a$ we will firstly convert $\sin a$ in terms of ${\text{cosec}}a$ and then finally we will convert ${\text{cosec}}a$ in terms of $\cot a$. also, in order to convert $\sec a$ in terms of $\cot a$ we will firstly convert $\sec a$ in terms of $\tan a$ and then. Note: students should remember trigonometric identities like $1 co{t^2}a = \cos e{c^2}a$ and $1 {\tan ^2}a = {\sec ^2}a$ and trigonometric formulas for solving these types of questions.by some simple calculations and using trigonometric identities we can also write $\sin a,\sec a$ and $\tan a$ in terms of $\tan a$.
Express The Trigonometric Ratios Sin A Sec A And Tan A In Terms Of Cot A
Express The Trigonometric Ratios Sin A A And Tan A In Terms Of A
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