If tan (theta + 15^@) = sqrt3, find the ...

If `tan (theta + 15^@) = sqrt3`, find the value of `sin theta + cos theta`.

Topper's Solved these Questions

QUESTION PAPER 2019
UNITED BOOK HOUSE|Exercise Exercise |53 Videos
QUESTION PAPER 2018
UNITED BOOK HOUSE|Exercise Exercise |53 Videos

Similar Questions

Explore conceptually related problems

If tan theta = 4/3 , find the value of (sin theta + cos theta) .

If tan theta = -4/3 , find the value of (sin theta + cos theta) .

If sin theta+cos theta = 7/5 then sin theta cost theta = 12/25 , find the value of sin theta and cos theta .

If 2 sin theta cos theta = 1 , then find the value of sin theta-cos theta .

If tan 6 theta . tan 4 theta= 1 then find the value of sin 5 theta .

In sin theta+cos thea= sqrt2 , find the value of theta .

If tan theta = 15/8 and cos theta is negative, find the value of (sin (-theta) - cos theta)/(tan(-theta) + "sec"(-theta)) .

If tan theta=(a)/(b) , then find the value of (sin theta)/(cos^(8)theta)+(cos theta)/(sin^(8)theta) .

If theta be a positive acute angle and tan theta=(a)/(b) , then find the value of (a sin theta-b cos theta)/(a sin theta+b cos theta).

If cot theta = (3)/(4) find the value of : ( sin theta- cos theta)/(sin theta+cos theta)

UNITED BOOK HOUSE-QUESTION PAPER 2017-Exercise

In triangleABC, if AB = (2a - 1) cm, AC = 2sqrt2a cm and Bc = (2a + 1)...
Text Solution
|
If x = a sec theta and y = b tan theta, then find the relation between...
Text Solution
|
If tan (theta + 15^@) = sqrt3, find the value of sin theta + cos theta...
Text Solution
|
The diameter of one sphere is double the diameter of another sphere. I...
Text Solution
|
If the number of surface of a cuboid is x, the number of edges is y, t...
Text Solution
|
If 11, 12, 14, x - 2, x + 4, x + 9, 32, 38, 47 are arranged in ascendi...
Text Solution
|
Answer any one question : The difference between simple interest and ...
Text Solution
|
A, B, C start a business jointly investing ₨. 1,80,000 in together. A ...
Text Solution
|
Answer any one : 1/a+b+x = 1/a+1/b+1/x, [x ne 0, - (a + b)]
Text Solution
|
If 5 times of a positive whole number is less by 3 than twice of its s...
Text Solution
|
Answer any one : simplify : (1)/(sqrt2 + sqrt3) - (sqrt3+1)/(2+sqrt3)...
Text Solution
|
The total expenses of a hostel are partly constant and partly vary dir...
Text Solution
|
Answer any one : If a/b+c = b/c+a = c/a+b, then prove that each ratio...
Text Solution
|
If (b+c-a)x = (c+a-b)y = (a+b-c) z =2,then show that (i/x+1/y) (1/y+1/...
Text Solution
|
Answer any one : If in a triangle, the area of the square drawn on on...
Text Solution
|
If two tangents are drawn to a circle from a point outside it, them th...
Text Solution
|
Answer any one question : Prove that the quadrilateral foemed by the ...
Text Solution
|
O is the circumcentre of triangleABC and OD bot Bc, prove that angleBO...
Text Solution
|
Answer any one question : Draw an equilateral triangle of side of 6 c...
Text Solution
|
Construct a rectangle with sides 8 cm and 6 cm construct a square equa...
Text Solution
|