From the following figure, find the values of : (i) sin B (ii) tan C (iii) sec^2 B – tan^2 B (iv) sin^2 C + cos^2 C

In Δ ABD, ⇒ AB2 = BD2 \+ DA2 (∵ AB is hypotenuse) ⇒ 132 = 52 \+ DA2 ⇒ 169 = 25 \+ DA2 ⇒ DA2 = 169 \- 25 ⇒ DA2 = 144 ⇒ DA = ⇒ DA = 12 In Δ ADC, ⇒ AC2 = AD2 \+ DC2 (∵ AB is hypotenuse) ⇒ AC2 = 122 \+ 162 ⇒ AC2 = 144 \+ 256 ⇒ AC2 = 400 ⇒ AC = ⇒ AC = 20 (i) sin Hence, sin . (ii) tan Hence, tan . (iii) sec2 B – tan2 B sec tan sec2 B – tan2 B Hence, sec2 B – tan2 B = 1. (iv) sin2 C + cos2 C sin cos Now, sin2 C + cos2 C Hence, sin2 C + cos2 C = 1.

From the following figure, find the values of :
(i) cos B
(ii) tan C
(iii) sin²B + cos²B
(iv) sin B.cos C + cos B.sin C

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From the following figure, find the values of :
(i) sin A
(ii) sec A
(iii) cos² A + sin² A

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Mathematics

From the following figure, find the values of :
(i) sin B
(ii) tan C
(iii) sec² B – tan² B
(iv) sin² C + cos² C

Trigonometric Identities

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From the following figure, find the values of :
(i) cos B
(ii) tan C
(iii) sin²B + cos²B
(iv) sin B.cos C + cos B.sin C

From the following figure, find the values of :
(i) sin A
(ii) sec A
(iii) cos² A + sin² A

Mathematics

From the following figure, find the values of :(i) sin B(ii) tan C(iii) sec2 B – tan2 B(iv) sin2 C + cos2 C

Trigonometric Identities

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From the following figure, find the values of :(i) cos B(ii) tan C(iii) sin2B + cos2B(iv) sin B.cos C + cos B.sin C

From the following figure, find the values of :(i) sin A(ii) sec A(iii) cos2 A + sin2 A

From the following figure, find the values of :
(i) sin B
(ii) tan C
(iii) sec² B – tan² B
(iv) sin² C + cos² C

From the following figure, find the values of :
(i) cos B
(ii) tan C
(iii) sin²B + cos²B
(iv) sin B.cos C + cos B.sin C

From the following figure, find the values of :
(i) sin A
(ii) sec A
(iii) cos² A + sin² A