Advertisements
Advertisements
प्रश्न
Evaluate the Following:
`tan 45^@/(cosec 30^@) + sec 60^@/cot 45^@ - (5 sin 90^@)/(2 cos 0^@)`
उत्तर
We will put the value of trigonometric identities in the given expression,
`tan 45^@/(cosec 30^@) + sec 60^@/cot 45^@ - (5 sin 90^@)/(2 cos 0^@)`
`[tan 45^@ = 1, sin 90^@ = 1, cos 0^@ = 1]`
= `1/2 + 2/1 - (5 xx 1)/1`
`[cosec 30^@ = 2, cot 45^@ = 1, sec 60^@ = 2]`
= `1/2 + 2 - 5`
= `1/2 - 3`
= `(1-6)/2`
= `=5/2`
Hence, `tan 45^@/(cosec 30^@) + sec 60^@/cot 45^@ - (5 sin 90^@)/(2 cos 0^@) = -5/2`.
APPEARS IN
संबंधित प्रश्न
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`cos theta = 7/25`
If `cot theta = 1/sqrt3` show that `(1 - cos^2 theta)/(2 - sin^2 theta) = 3/5`
If `sin theta = a/b` find sec θ + tan θ in terms of a and b.
if `sin theta = 3/4` prove that `sqrt(cosec^2 theta - cot)/(sec^2 theta - 1) = sqrt7/3`
Evaluate the Following
`(sin 30^@ - sin 90^2 + 2 cos 0^@)/(tan 30^@ tan 60^@)`
In ΔABC is a right triangle such that ∠C = 90° ∠A = 45°, BC = 7 units find ∠B, AB and AC
If cos (40° + A) = sin 30°, then value of A is ______.
`(1 + tan^2 "A")/(1 + cot^2 "A")` is equal to ______.
If cos A = `4/5`, then the value of tan A is ______.
What will be the value of sin 45° + `1/sqrt(2)`?
