$CATEGORY: Maths - TicTacLearn/8. Introduction to trignometry/8. Introduction to trignometry--Trigonometric Identities

//Multiple Choice

Which of the following is a correct trigonometric identity? {
     = sin²(θ)+cos²(θ)\=1
     ~ tan⁡2θ+1\=sin⁡2θ
     ~ sin⁡2θ−cos⁡2θ\=1
     ~ 1+cos⁡2θ\=sec⁡2θ
}

 If tan⁡θ\=3/4, then sin⁡θ is\: {
     = 3/5
     ~ 4/5
     ~ 5/3
     ~ 5/4
}

 The value of sec⁡2θ−tan⁡2θ is\: {
     ~ 0
     = 1
     ~ tan⁡2θ
     ~ sec⁡2θ
}

 If cos⁡θ\=5/13 , then sin⁡θ is\: {
     ~ 12/15
     ~ 5/13
     ~ 13/12
     = 12/13
}

 Which of the following is equivalent to cot⁡θ? {
     ~ sin⁡θ/cos⁡θ
     ~ 1/tan⁡θ
     ~ cos⁡θ/sin⁡θ
     = Both b and c
}

//True or False

sin⁡2θ+cos⁡2θ\=1. {T}

sec⁡2θ−tan⁡2θ\=0. {F}

tan 45∘\=1. {T}

cot⁡θ\=sin⁡θ/cos⁡θ. {F}

cosec⁡θ\=1/sin⁡θ. {T}

//Numericals



//Fill in the blanks

sin⁡2θ+cos⁡2θ\=______. {
     = 1
     ~ tan⁡2θ
     ~ cot⁡2θ
}

sec⁡2θ−tan⁡2θ \=______. {
     ~ 0
     = 1
     ~ tan⁡θ
}

sin⁡90∘ \=______. {
     ~ 0
     = 1
     ~ -1
}

cos⁡0∘ \=___. {
     = 1
     ~ 0
     ~ -1
}

The value of cot⁡45∘ is ______. {
     ~ 0
     = 1
     ~ 1/2
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=tan⁡θ -> sin⁡θ/cos⁡θ
=sec⁡θ -> 1/cos⁡θ
=cotθ -> cos⁡θ/sin⁡θ
=cosecθ -> 1/sin⁡θ
}



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