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If `theta = 45^@`, then find `tan theta`.
Concept: Angles in Standard Position
if `cos theta = 5/13` where `theta` is an acute angle. Find the value of `sin theta`
Concept: Trigonometric Identities (Square Relations)
Show that `sqrt((1+cosA)/(1-cosA)) = cosec A + cot A`
Concept: Trigonometric Identities (Square Relations)
If \[\sin\theta = \frac{7}{25}\], find the values of cosθ and tanθ.
Concept: Angles of Elevation and Depression
If 5 secθ – 12 cosecθ = 0, find the values of secθ, cosθ, and sinθ.
Concept: Angles of Elevation and Depression
Prove that:
`(sin^2θ)/(cosθ) + cosθ = secθ`
Concept: Trigonometric Identities (Square Relations)
Prove that:
cos2θ (1 + tan2θ)
Concept: Angles of Elevation and Depression
Prove that:
Concept: Angles of Elevation and Depression
Prove that:
Sin4θ - cos4θ = 1 - 2cos2θ
Concept: Trigonometric Identities (Square Relations)
Prove that:
`"tanθ"/("secθ" – 1) = (tanθ + secθ + 1)/(tanθ + secθ - 1)`
Concept: Trigonometric Identities (Square Relations)
Choose the correct alternative answer for the following question.
1 + tan2 \[\theta\] = ?
Concept: Angles of Elevation and Depression
Choose the correct alternative answer for the following question.
Concept: Angles of Elevation and Depression
If sin θ = `11/61`, find the values of cos θ using trigonometric identity.
Concept: Trigonometric Identities (Square Relations)
Prove the following.
secθ (1 – sinθ) (secθ + tanθ) = 1
Concept: Angles of Elevation and Depression

From the figure find the value of sinθ.
Concept: Trigonometric Identities (Square Relations)
If `secθ = 25/7 ` then find tanθ.
Concept: Trigonometric Identities (Square Relations)
If tanθ `= 3/4` then find the value of secθ.
Concept: Trigonometric Identities (Square Relations)
Simplify : 2 sin30 + 3 tan45.
Concept: Trigonometric Identities (Square Relations)
Prove that secθ + tanθ =`(costheta)/(1-sintheta)`.
Concept: Trigonometric Identities (Square Relations)
Find the value of sin 30° + cos 60°.
Concept: Trigonometric Identities (Square Relations)
