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प्रश्न
State whether the following are true or false. Justify your answer.
cos A is the abbreviation used for the cosecant of angle A.
विकल्प
True
False
उत्तर
This statement is False.
Explanation:
Abbreviation used for cosecant of angle A is cosec A. And cos A is the abbreviation used for cosine of angle A.
Hence, the given statement is false.
संबंधित प्रश्न
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`sin A = 2/3`
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if `sin theta = 3/4` prove that `sqrt(cosec^2 theta - cot)/(sec^2 theta - 1) = sqrt7/3`
Evaluate the following
sin2 30° + sin2 45° + sin2 60° + sin2 90°
Evaluate the following
tan2 30° + tan2 60° + tan2 45°
Evaluate the Following
cosec3 30° cos 60° tan3 45° sin2 90° sec2 45° cot 30°
Evaluate the Following
`cot^2 30^@ - 2 cos^2 60^circ- 3/4 sec^2 45^@ - 4 sec^2 30^@`
Evaluate the Following
`4/(cot^2 30^@) + 1/(sin^2 60^@) - cos^2 45^@`
Find the value of x in the following :
`2 sin x/2 = 1`
If cos (40° + A) = sin 30°, then value of A is ______.
If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to ______.
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If cos A = `4/5`, then the value of tan A is ______.
Prove that: cot θ + tan θ = cosec θ·sec θ
Proof: L.H.S. = cot θ + tan θ
= `square/square + square/square` ......`[∵ cot θ = square/square, tan θ = square/square]`
= `(square + square)/(square xx square)` .....`[∵ square + square = 1]`
= `1/(square xx square)`
= `1/square xx 1/square`
= cosec θ·sec θ ......`[∵ "cosec" θ = 1/square, sec θ = 1/square]`
= R.H.S.
∴ L.H.S. = R.H.S.
∴ cot θ + tan θ = cosec·sec θ
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