Question: a. Show that tan + cot 2 cosec 2. b. Hence find the value of tan 75 + cot 75.

a. Show that tan θ + cot θ ≡ 2 cosec 2θ. 

b. Hence find the value of tan 75° + cot 75°.

Step by Step Solution

★★★★★

3.38 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a LHS b 4 sin ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Pearson Edexcel A Level Mathematics Questions!

Q:

i. Prove that cot + tan = 2 cosec 2. ii. Hence show that czt fr cosec 20 de = In In 3.

Q:

Describe the catalysts that allowed Adolf Hitler to resurrect the German empire after world war What made him such an effective motivator?

Q:

1. 3 2 Consider the function f(x) = x - 3x - 9x + 10, x (a) . Find the equation of the straight line passing through the maximum and minimum points of the graph y = f(x). (4) (b) Show that the point...

Q:

Trigonometry Unit Assignment - | X + X > C A Ims.virtualhighschool.com/d21/le/content/64580/viewContent/1060631/View Q E X ABP R G A Im Trigonometry Unit Assignment X Question 1 (4 points) ) Listen (...

Q:

1. A ball A is thrown vertically upwards at 25 ms" from a point P. Three seconds later a second ball B is also thrown vertically upwards from the point P at 25 ms" . Taking the acceleration due to...

Q:

Topics SOH CAH TOA Name Joquellin Niex Angle review 2 a2462= c2 Date 9130/22 Find the value of the trig function indicated. 1) cos 0 A~ 15 - 17 2) cos O opp 8 17 Hyp . 82+62= 172 64 +62=289 15 Ad, -...

Q:

show work for all free response questions 1. Challenge: What is the area of the base of a figure if the volume is 210 ft 3 and the height is 14 ft? QUESTION 2 1. 1. How do you find the volume of a...

Q:

1 Investment returns on a given fund are fixed over the next five years at either 4% pa with probability 0.2 or 5% pa with probability 0.8. Calculate the standard deviation of the present value of a...

Q:

All the information are in it (i) g(x) = x?(x + 5)%(x 1)(x 4) (a) Degree: ; Leading coefficient: ; based on this the end behavior is: (b) the x-intercepts: X-intercept Multiplicity Bounce or cross?...

Q:

we know that the range of the principal value branch of sin 7 5 sin Example 2 Find the principal value of cot cot 1 2 Solution Let cot Therefore principal alue of sin 2 57 732 3 1 sin 7 sec 3 cot y 2...

Q:

Determine the 2 transformation with T=15 1) f(x) = 2) H(s) = kri 3 x 1 (k+1) + 7 x 8 (K+1) + 2 (0.5) 2 5 (s-0.5) (5-04) Ex 2 Determine the inverse of 7 tranform 22 Y(2) (2-1) (32 +42 +1)

Q:

Holiday Manufacturing had the following inventories at December 31, 2015, the end of its fiscal year: Material inventory .................................. 19,000 Work in process inventory...

Q:

curent value of cash flow discounted at the appropriate rate is call the blank value

Q:

How have cyber and or network security policies and procedures changed over the last five years?

Q:

What test can be used to compare cancer incidence rates between the two treatment groups? Cancer The Physicians Health Study was a randomized doubleblind placebo-controlled trial of beta-carotene (50...

Q:

Implement the test in Problem 10.78, and report a two-tailed p-value. Cancer The Physicians Health Study was a randomized doubleblind placebo-controlled trial of beta-carotene (50 mg every other...

Q:

What is the best estimate of the probability of a male offspring based on the observed data? Demography A common assumption is that the gender distributions of successive offspring are independent....

Q:

If the expected sales volume for the current period is 8,000 units, the desired ending inventory is 200 units, and the beginning inventory is 400 units, the number of units set forth in the...

Q:

Total sales less the sales price of any goods returned by customers, less any reduction in price given to customers, less cash discounts allowed by the seller is called

Q:

If the $15,000 debit balance in the Manufacturing Overhead account is closed out to Cost of Goods Sold, the related entry will? A. increase the cost of goods sold B. have no effect on net income C....