Important Questions of Trigonometric Functions Mathematics | Zigya

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Mathematics : Trigonometric Functions

Short Answer Type

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171.

Find $space space space straight capital delta comma space straight r space and space straight R comma$ when $straight a equals 22 comma space straight b equals 28 comma space straight c equals 36$

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172. In any triangle ABC, show that

left parenthesis abc right parenthesis space straight s space equals space straight capital delta squared space cosec straight A over 2 cosec straight B over 2 cosec straight C over 2

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173.

In any triangle, show that: $4 Rcos straight A over 2 cos straight B over 2 cos straight C over 2 equals straight s$

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174. In any triangle ABC, show that

sin space straight A plus sin space straight B plus sin space straight C space equals space fraction numerator straight capital delta over denominator straight r space straight R end fraction

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175. In any triangle ABC, show that

cosA space plus space cosB space plus space cosC space equals space 1 plus straight r over straight R

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Long Answer Type

176. In any triangle ABC, show that

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Hence, prove that if sides a,b,c are in A.P.,

cot straight A over 2 comma space cot straight B over 2 space and space cot straight C over 2

are in A.P.

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Short Answer Type

177.

In triangle ABC, if b = 15 cm, $space space cosB space equals space 4 over 5 comma$ find R.

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178.

Convert to radian measure:

$40 degree space 20 apostrophe$

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179.

Convert to radian measure:

$40 degree space 15 apostrophe space 36 apostrophe apostrophe$

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180.

Convert to radian measure:

$22 degree space 30 apostrophe$

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