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Mathematics : Trigonometric Functions

Short Answer Type

521.

In any triangle ABC, prove that: $straight s equals 4 straight R space cos straight A over 2 space cos straight B over 2 space cos straight C over 2$

96 Views

522.

In any triangle ABC, prove that:

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100 Views

523.

In any triangle ABC, prove that: $left parenthesis straight a plus straight b right parenthesis space equals space 4 straight R space cos open parentheses fraction numerator straight A minus straight B over denominator 2 end fraction close parentheses space cos straight C over 2$

105 Views

524.

The angles of a triangle are in the ratio 1:2:7. Show that the ratio of the greatest side to the least side is

$space space left parenthesis square root of 5 plus 1 right parenthesis space colon space left parenthesis square root of 5 minus 1 right parenthesis.$

120 Views

525.

Prove that:

$sin squared straight pi over 6 plus cos squared straight pi over 3 minus tan squared straight pi over 4 equals negative 1 half$

104 Views

526.

Prove that:

$2 sin squared straight pi over 6 plus cosec squared fraction numerator 7 straight pi over denominator 6 end fraction cos squared straight pi over 3 space equals space 3 over 2$

106 Views

527.

Prove that:

$cot squared straight pi over 6 plus cosec fraction numerator 5 straight pi over denominator 6 end fraction plus 3 tan squared straight pi over 6 equals 6$

111 Views

528.

Prove that:

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105 Views

529.

Find the value of:

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115 Views

530.

Find the value of:

$space space space tan space 15 degree$

127 Views