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Trigonometric Functions

Short Answer Type

421.

In triangle ABC, show that

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116 Views

422.

In triangle ABC, show that

$2 space left square bracket bc space cosA space plus space ca space cosB space plus space ab space cosC right square bracket space equals space straight a squared plus straight b squared plus straight c squared space$

113 Views

423.

In triangle ABC, show that

$open parentheses fraction numerator straight b squared minus straight c squared over denominator straight a squared end fraction close parentheses sin space 2 straight A plus open parentheses fraction numerator straight c squared minus straight a squared over denominator straight b squared end fraction close parentheses sin space 2 straight B plus space open parentheses fraction numerator straight a squared minus straight b squared over denominator straight c squared end fraction close parentheses sin space 2 straight c space equals 0$

106 Views

424.

In triangle ABC, show that

$left parenthesis straight a minus straight b right parenthesis squared space cos squared open parentheses straight C over 2 close parentheses plus left parenthesis straight a plus straight b right parenthesis squared space sin squared open parentheses straight C over 2 close parentheses equals straight c squared$

121 Views

425.

In triangle ABC, show that

$fraction numerator cosA over denominator straight b space cosC space plus space straight c space cosB end fraction plus fraction numerator cosB over denominator straight c space cosA plus straight a space cosC end fraction plus fraction numerator cosC over denominator straight a space cosB plus straight b space cosA end fraction equals fraction numerator straight a squared plus straight b squared plus straight c squared over denominator 2 abc end fraction$

135 Views

426.

In triangle ABC, show that

$fraction numerator straight c minus bcosA over denominator straight b minus ccosA end fraction equals cosB over cosC$

114 Views

427.
In triangle ABC, a = 4, b = 6 and c= 8, show that 8 cosA + 16 cosB + 4 cos C = 17

Solution not provided.

130 Views

428.

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105 Views

429.

In $increment ABC comma$ $angle straight A space equals space 30 degree$ and $space space straight b colon straight c space equals space 2 colon square root of 3 comma space find space angle straight B$

124 Views

Long Answer Type

430.

A, B, C are angles of a triangle such that $cos space straight C space equals space fraction numerator sinA over denominator 2 space sinB end fraction comma$ show that the trianlge is isosceles.