$CATEGORY: Maths - TicTacLearn/8. Introduction to trignometry/8. Introduction to trignometry--Trigonometric Ratios of Some Specific Angles

//Multiple Choice

If sin⁡(90∘−θ)\=cos⁡θ , then cos(90∘−θ) equals\: {
     = sin⁡θ
     ~ tan⁡θ
     ~ sec⁡θ
     ~ cot⁡θ
}

The value of tan⁡(90∘−θ)  is\: {
     = cot⁡θ
     ~ tan⁡θ
     ~ sec⁡θ
     ~ cosec⁡θ
}

cosec⁡(90∘−θ) is equal to\: {
     = sec⁡θ
     ~ sin⁡θ
     ~ cot⁡θ
     ~ tan⁡θ
}

The value of sin⁡30∘ can also be written as\: {
     ~ cos⁡30∘
     = cos⁡60∘
     ~ tan⁡60∘
     ~ cosec⁡30∘
}

cot⁡(90∘−θ) is equivalent to\: {
     = tan⁡θ
     ~ cot⁡θ
     ~ sec⁡θ
     ~ cosec⁡θ
}

//True or False

sin⁡(90∘−θ)\=sin⁡θ. {F}

cos⁡(90∘−θ)\=sin⁡θ. {T}

tan⁡(90∘−θ)\=tan⁡θ. {F}

sec⁡(90∘−θ)\=cosec⁡θ. {T}

cot⁡(90∘−θ)\=tan⁡θ. {T}

//Numericals



//Fill in the blanks

sin⁡(90∘−θ) \= ______. {
     ~ tan⁡θ
     = cos⁡θ
     ~ cosec⁡θ
     ~ sec⁡θ
}

cos(90∘−θ)\= ______. {
     ~ sec⁡θ
     ~ tan⁡θ
     = sin⁡θ
     ~ cot⁡θ
}

cosec(90∘−θ)\= ______. {
     ~ sin⁡θ
     = sec⁡θ
     ~ cos⁡θ
     ~ cot⁡θ
}

The value of tan⁡(90∘−θ) is ______. {
     = cot⁡θ
     ~ tan⁡θ
     ~ sec⁡θ
     ~ cosec⁡θ
}

cot (90∘−θ)  \= ______. {
     = tan⁡θ
     ~ cot⁡θ
     ~ sec⁡θ
     ~ sin⁡θ
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=sin⁡(90∘−θ) -> cos⁡θ
=cos⁡(90∘−θ) -> sin⁡θ
=tan⁡(90∘−θ) -> cot⁡θ
=cosec⁡(90∘−θ) -> sec⁡θ
=cot⁡(90∘−θ) -> tan⁡θ
}

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